9z+24=32-7z

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Solution for 9z+24=32-7z equation:


Simplifying
9z + 24 = 32 + -7z

Reorder the terms:
24 + 9z = 32 + -7z

Solving
24 + 9z = 32 + -7z

Solving for variable 'z'.

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

Add '7z' to each side of the equation.
24 + 9z + 7z = 32 + -7z + 7z

Combine like terms: 9z + 7z = 16z
24 + 16z = 32 + -7z + 7z

Combine like terms: -7z + 7z = 0
24 + 16z = 32 + 0
24 + 16z = 32

Add '-24' to each side of the equation.
24 + -24 + 16z = 32 + -24

Combine like terms: 24 + -24 = 0
0 + 16z = 32 + -24
16z = 32 + -24

Combine like terms: 32 + -24 = 8
16z = 8

Divide each side by '16'.
z = 0.5

Simplifying
z = 0.5

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