4z+8=9z-43

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Solution for 4z+8=9z-43 equation: 


Simplifying
4z + 8 = 9z + -43

Reorder the terms:
8 + 4z = 9z + -43

Reorder the terms:
8 + 4z = -43 + 9z

Solving
8 + 4z = -43 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
8 + 4z + -9z = -43 + 9z + -9z

Combine like terms: 4z + -9z = -5z
8 + -5z = -43 + 9z + -9z

Combine like terms: 9z + -9z = 0
8 + -5z = -43 + 0
8 + -5z = -43

Add '-8' to each side of the equation.
8 + -8 + -5z = -43 + -8

Combine like terms: 8 + -8 = 0
0 + -5z = -43 + -8
-5z = -43 + -8

Combine like terms: -43 + -8 = -51
-5z = -51

Divide each side by '-5'.
z = 10.2

Simplifying
z = 10.2

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