9(z-4)=5z+8

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Solution for 9(z-4)=5z+8 equation:


Simplifying
9(z + -4) = 5z + 8

Reorder the terms:
9(-4 + z) = 5z + 8
(-4 * 9 + z * 9) = 5z + 8
(-36 + 9z) = 5z + 8

Reorder the terms:
-36 + 9z = 8 + 5z

Solving
-36 + 9z = 8 + 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.
-36 + 9z + -5z = 8 + 5z + -5z

Combine like terms: 9z + -5z = 4z
-36 + 4z = 8 + 5z + -5z

Combine like terms: 5z + -5z = 0
-36 + 4z = 8 + 0
-36 + 4z = 8

Add '36' to each side of the equation.
-36 + 36 + 4z = 8 + 36

Combine like terms: -36 + 36 = 0
0 + 4z = 8 + 36
4z = 8 + 36

Combine like terms: 8 + 36 = 44
4z = 44

Divide each side by '4'.
z = 11

Simplifying
z = 11

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