Answer:
For each of these, we use PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction, IN THAT ORDER).
#11:
[tex]2(6k - 1) = -32\\\\12k - 2 = -32\\\\12k = -30\\\\k = -2.5[/tex]
#12:
[tex]15 = -3(x - 1)\\\\15 = -3x + 3\\\\12 = -3x\\\\-4 = x[/tex]
#13:
[tex]7x + 6x - 3x - 45 = 15x\\\\10x - 45 = 15x\\\\-45 = 5x\\\\-9 = x[/tex]
#14:
[tex]3x + 5 = \frac{1}{2}(4x + 28)\\\\3x + 5 = 2x + 14\\\\x + 5 = 14\\\\x = 11[/tex]
#15:
[tex]10 - (x + 5) = 2x + 14\\\\10 - x - 5 = 2x + 14\\\\5 - x = 2x + 14\\\\5 - 3x = 14\\\\-3x = 9\\\\x = -3[/tex]
#16:
[tex]\frac{2}{5}(10x - 15) = -14\\\\4x - 6 = -14\\\\4x = -8\\\\x = -2[/tex]
*Note: You can check my work by pluging in each result I got for x back into the equation and solve. If both numbers on each side of the equal sign match, that means I'm right.
