8(6z+3)=32+5z

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Solution for 8(6z+3)=32+5z equation:


Simplifying
8(6z + 3) = 32 + 5z

Reorder the terms:
8(3 + 6z) = 32 + 5z
(3 * 8 + 6z * 8) = 32 + 5z
(24 + 48z) = 32 + 5z

Solving
24 + 48z = 32 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
24 + 48z + -5z = 32 + 5z + -5z

Combine like terms: 48z + -5z = 43z
24 + 43z = 32 + 5z + -5z

Combine like terms: 5z + -5z = 0
24 + 43z = 32 + 0
24 + 43z = 32

Add '-24' to each side of the equation.
24 + -24 + 43z = 32 + -24

Combine like terms: 24 + -24 = 0
0 + 43z = 32 + -24
43z = 32 + -24

Combine like terms: 32 + -24 = 8
43z = 8

Divide each side by '43'.
z = 0.1860465116

Simplifying
z = 0.1860465116

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