5z+36=8z-9

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Solution for 5z+36=8z-9 equation:


Simplifying
5z + 36 = 8z + -9

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

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

Solving
36 + 5z = -9 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
36 + 5z + -8z = -9 + 8z + -8z

Combine like terms: 5z + -8z = -3z
36 + -3z = -9 + 8z + -8z

Combine like terms: 8z + -8z = 0
36 + -3z = -9 + 0
36 + -3z = -9

Add '-36' to each side of the equation.
36 + -36 + -3z = -9 + -36

Combine like terms: 36 + -36 = 0
0 + -3z = -9 + -36
-3z = -9 + -36

Combine like terms: -9 + -36 = -45
-3z = -45

Divide each side by '-3'.
z = 15

Simplifying
z = 15

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