Question

7. −4(2z+6)−12=4

Answer 1

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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~

Answer 2

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)

$\frac{3}{2}$(x - 2) - 5 = 19

$\frac{3}{2}$(x - 2) = 24      added 5 to both sides

(x - 2) = 24($\frac{2}{3}$)    multiplied both sides by $\frac{2}{3}$

x - 2 = 16                    simplified the multiplied term on the right

x = 18                         added 2 to both sides

Answer: x = 18