Answer:
1. 2t+7
2. -8y + 4
3. 3/2s-6.8
4. -5w-5/2
5. 11k+6
6. 13.6g-28
7. 3p+1
8. 4k-13/5
9. -6u+7
10. 11.4h-26
11. 2j-8
12. -28x - 55
13. 4.5b + 24
14. 6n + 22/5
Step-by-step explanation:
1. (5 - t) + (3t + 2)
Let's add the variables first. -t + 3t = 2t. Now do 5+2 for 7, and you will get 2t+7
2. 2(-5y +6) + (2y -8)
First, distribute the left side. (-10y + 12) + (2y - 8)
Then, add the variables -10 + 2 = -8y
Now, add the constants 12+ - 8 = 4
-8y + 4
3. 5(0.3s - 2) + 2(5 - 3.4)
Distribute first, on both sides, and you will get (3/2s-10)+(10-6.8)
There are no other variables, so we just add the constants.
-10+10-6.8 = -6.8. So we get
3/2s-6.8
4. 1/5(-15w - 20) + 1/2(3 - 4w)
Distribute both sides, this will give (-3w-4)+(3/2-2w)c.
Now add the variables. -3w+-2w = -5w
Then do -4+3/2 for -5/2.
-5w-5/2
5. (7k + 9) + (4k - 3)
Add the variables, 7k+4k=11k, then Add the constants. 9+-3= 6.
11k+6
6. 4(2.5g - 4) + 3(1.2g - 4)
Distribute and you will get (10g-16)+(18/5g-12).
Add the variables for 68/5g (or 13.6g)
Add the constants, -16+-12 = -28.
13.6g-28
7. 1/3(6p - 3) + 1/7(7p + 14)
Distribute first. (2p-1)+(p+2)
Add variables, 2p+p = 3p
Add constants, -1 + 2 = 1
3p+1
8. 1/8(16k - 24) + 1/5(2 + 10k)
Distribute first.
(2k - 3) + (2/5 +2k)
Add variables, 2k+2k = 4k
Add constants, -3+2/5 = -13/5
4k-13/5
9. (8 - u) - (5u +1)
Subtract the variables.
-u-5u =-6u
Subtract constants, 8-1 = 7.
-6u+7
10. (3h + 4) - 6(5 - 1.4h)
Distribute first, (3h+4)-(30-8.4h)
Subtract variables. 3h- -8.5h = 11.4h
Subtract constants. 4-30 = -26
11.4h-26
11. 1/4(16j - 12) - 1/9(18j + 45)
Distribute, (4j-3)-(-2j+-5)
Subtract variables, 4j-2j = 2j
Subtract constants, -3 - 5 = -8
2j-8
12. (2x + 7) - 6(5x - 8)
Distribute first. (2x+7)-(30x-48)
Subtract variables, 2-30 = -28x
Subtract constants, 7- - 48 = 55
-28x - 55
13. (12 + 7.2b) - 3(0.9b - 4)
Distribute,
(12+7.2b) - (2.7b-12)
Subtract variables. 7.2b-2.7b = 4.5b
Subtracts constants. 12- - 12 = 24
4.5b + 24
14. 2/3(12n + 6) -1/5(10n - 2)
Distribute,
(8n + 4) - (2n - 2/5)
Subtract variables, 8n-2n = 6n
Subtracts constants, 4 - - 2/5 = 22/5
6n + 22/5
Sorry this took so long, showing your work for simplification is tedious.
