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7. -4(2z + 6) - 12 = 4
Simplify.
-8z - 24 - 12 = 4
Simplify.
-8z - 36 = 4
Add 36 to both sides.
-8z - 36 + 36 = 4 + 36
Simplify.
-8z = 40
Divide both sides by -8.
z = -5
8. 3/2(x - 2) - 5 = 19
Simplify.
3/2x - 3 - 5 = 19
Simplify.
3/2x - 8 = 19
Add 8 to both side.
3/2x = 19 + 8
Simplify.
3/2x = 27
Multiply both sides by 2.
3/2x · 2 = 27 · 2
Simplify.
3x = 54
Divide both sides by 3.
x = 18
~hope I helped~
7)
-4(2z + 6) - 12 = 4
-4(2z) + -4(6) -12 = 4 distributed -4 into (2z + 6)
-8z - 24 - 12 = 4 simplified the multiplied terms
-8z - 36 = 4 added like terms (-24 and -12)
-8z = 40 added 36 to both sides of the equation
z = -5 divided both sides by -8
Answer: z = -5
8)
[tex] \frac{3}{2} [/tex](x - 2) - 5 = 19
[tex] \frac{3}{2} [/tex](x - 2) = 24 added 5 to both sides
(x - 2) = 24([tex] \frac{2}{3} [/tex]) multiplied both sides by [tex] \frac{2}{3} [/tex]
x - 2 = 16 simplified the multiplied term on the right
x = 18 added 2 to both sides
Answer: x = 18