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

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


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

Reorder the terms:
4(6 + 2z) = 6z + 32
(6 * 4 + 2z * 4) = 6z + 32
(24 + 8z) = 6z + 32

Reorder the terms:
24 + 8z = 32 + 6z

Solving
24 + 8z = 32 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
24 + 8z + -6z = 32 + 6z + -6z

Combine like terms: 8z + -6z = 2z
24 + 2z = 32 + 6z + -6z

Combine like terms: 6z + -6z = 0
24 + 2z = 32 + 0
24 + 2z = 32

Add '-24' to each side of the equation.
24 + -24 + 2z = 32 + -24

Combine like terms: 24 + -24 = 0
0 + 2z = 32 + -24
2z = 32 + -24

Combine like terms: 32 + -24 = 8
2z = 8

Divide each side by '2'.
z = 4

Simplifying
z = 4

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