-9-3(z+7)=4(2z+3)+4

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Solution for -9-3(z+7)=4(2z+3)+4 equation: 


Simplifying
-9 + -3(z + 7) = 4(2z + 3) + 4

Reorder the terms:
-9 + -3(7 + z) = 4(2z + 3) + 4
-9 + (7 * -3 + z * -3) = 4(2z + 3) + 4
-9 + (-21 + -3z) = 4(2z + 3) + 4

Combine like terms: -9 + -21 = -30
-30 + -3z = 4(2z + 3) + 4

Reorder the terms:
-30 + -3z = 4(3 + 2z) + 4
-30 + -3z = (3 * 4 + 2z * 4) + 4
-30 + -3z = (12 + 8z) + 4

Reorder the terms:
-30 + -3z = 12 + 4 + 8z

Combine like terms: 12 + 4 = 16
-30 + -3z = 16 + 8z

Solving
-30 + -3z = 16 + 8z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-8z' to each side of the equation.
-30 + -3z + -8z = 16 + 8z + -8z

Combine like terms: -3z + -8z = -11z
-30 + -11z = 16 + 8z + -8z

Combine like terms: 8z + -8z = 0
-30 + -11z = 16 + 0
-30 + -11z = 16

Add '30' to each side of the equation.
-30 + 30 + -11z = 16 + 30

Combine like terms: -30 + 30 = 0
0 + -11z = 16 + 30
-11z = 16 + 30

Combine like terms: 16 + 30 = 46
-11z = 46

Divide each side by '-11'.
z = -4.181818182

Simplifying
z = -4.181818182

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