4z+5=3z-8

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Solution for 4z+5=3z-8 equation:


Simplifying
4z + 5 = 3z + -8

Reorder the terms:
5 + 4z = 3z + -8

Reorder the terms:
5 + 4z = -8 + 3z

Solving
5 + 4z = -8 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
5 + 4z + -3z = -8 + 3z + -3z

Combine like terms: 4z + -3z = 1z
5 + 1z = -8 + 3z + -3z

Combine like terms: 3z + -3z = 0
5 + 1z = -8 + 0
5 + 1z = -8

Add '-5' to each side of the equation.
5 + -5 + 1z = -8 + -5

Combine like terms: 5 + -5 = 0
0 + 1z = -8 + -5
1z = -8 + -5

Combine like terms: -8 + -5 = -13
1z = -13

Divide each side by '1'.
z = -13

Simplifying
z = -13

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