5(2z+6)=-4(-5-2z)+32

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Solution for 5(2z+6)=-4(-5-2z)+32 equation:


Simplifying
5(2z + 6) = -4(-5 + -2z) + 32

Reorder the terms:
5(6 + 2z) = -4(-5 + -2z) + 32
(6 * 5 + 2z * 5) = -4(-5 + -2z) + 32
(30 + 10z) = -4(-5 + -2z) + 32
30 + 10z = (-5 * -4 + -2z * -4) + 32
30 + 10z = (20 + 8z) + 32

Reorder the terms:
30 + 10z = 20 + 32 + 8z

Combine like terms: 20 + 32 = 52
30 + 10z = 52 + 8z

Solving
30 + 10z = 52 + 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 + 10z + -8z = 52 + 8z + -8z

Combine like terms: 10z + -8z = 2z
30 + 2z = 52 + 8z + -8z

Combine like terms: 8z + -8z = 0
30 + 2z = 52 + 0
30 + 2z = 52

Add '-30' to each side of the equation.
30 + -30 + 2z = 52 + -30

Combine like terms: 30 + -30 = 0
0 + 2z = 52 + -30
2z = 52 + -30

Combine like terms: 52 + -30 = 22
2z = 22

Divide each side by '2'.
z = 11

Simplifying
z = 11

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