1. -4a-6=-12
add 6 to both sides
-4a-6+6=-12+6
-4a=-6
Divide by -4
[tex]a= \frac{6}{4} = 1 \frac{1}{2} [/tex]
2. [tex] \frac{3}{5} z- \frac{1}{4} = \frac{17}{20} [/tex]
add [tex] \frac{1}{4} [/tex] to both sides but you will need to make a common denominator on the right
[tex] \frac{3}{5} z- \frac{1}{4} + \frac{1}{4} = \frac{17}{20} + \frac{5}{20} [/tex]
[tex] \frac{3}{5}z= \frac{11}{10} [/tex]
Divide by [tex] \frac{3}{5} [/tex] which means multiply by the reciprocal.
[tex] \frac{3}{5}* \frac{5}{3} z= \frac{11}{10} * \frac{5}{3} [/tex]
[tex]z= \frac{55}{30} =1 \frac{5}{6} [/tex]
3. [tex]2 \frac{1}{2}(e-1 \frac{3}{4})=5 \frac{1}{2} [/tex]
Distribute
[tex]2 \frac{1}{2} e-4 \frac{3}{8} =5 \frac{1}{2} [/tex]
Subtract
[tex]2 \frac{1}{2} e=1 \frac{1}{8} [/tex]
Divide
[tex]e= \frac{9}{20} [/tex]
4. 3w+7=20
Subtract
3w=13
Divide
[tex]w= \frac{13}{3} = 4 \frac{1}{3} [/tex]
5. -.2p+.4=-1.2
Subtract
-.2p=-1.6
Divide
p=8
6. [tex] \frac{y}{4} - \frac{3}{5} = \frac{18}{20} [/tex]
Add, made sure you change to common denominator first
[tex] \frac{y}{4} = 1 \frac{1}{4} [/tex]
Multiply by 4
y=5
Hope that helps
