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ollegr [7]
3 years ago
11

7. −4(2z+6)−12=4

Mathematics
2 answers:
Juliette [100K]3 years ago
8 0

Hey there! :)

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~

stich3 [128]3 years ago
3 0

7)

-4(2z + 6) - 12 = 4

-4(2z) +  -4(6)  -12 = 4         <em>distributed -4 into (2z + 6)</em>

-8z - 24 - 12 = 4                  <em>simplified the multiplied terms</em>

-8z - 36 = 4                        <em>added like terms (-24 and -12)</em>

-8z = 40                             <em>added 36 to both sides of the equation</em>

  z = -5                              <em>divided both sides by -8</em>

Answer: z = -5

8)

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

\frac{3}{2}(x - 2) = 24      <em>added 5 to both sides</em>

(x - 2) = 24(\frac{2}{3})    <em>multiplied both sides by </em>\frac{2}{3}

x - 2 = 16                    <em>simplified the multiplied term on the right</em>

x = 18                         <em>added 2 to both sides</em>

Answer: x = 18


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