32+5z=6(9z+7)

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Solution for 32+5z=6(9z+7) equation:


Simplifying
32 + 5z = 6(9z + 7)

Reorder the terms:
32 + 5z = 6(7 + 9z)
32 + 5z = (7 * 6 + 9z * 6)
32 + 5z = (42 + 54z)

Solving
32 + 5z = 42 + 54z

Solving for variable 'z'.

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

Add '-54z' to each side of the equation.
32 + 5z + -54z = 42 + 54z + -54z

Combine like terms: 5z + -54z = -49z
32 + -49z = 42 + 54z + -54z

Combine like terms: 54z + -54z = 0
32 + -49z = 42 + 0
32 + -49z = 42

Add '-32' to each side of the equation.
32 + -32 + -49z = 42 + -32

Combine like terms: 32 + -32 = 0
0 + -49z = 42 + -32
-49z = 42 + -32

Combine like terms: 42 + -32 = 10
-49z = 10

Divide each side by '-49'.
z = -0.2040816327

Simplifying
z = -0.2040816327

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