3z+5=4z-8

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


Simplifying
3z + 5 = 4z + -8

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

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

Solving
5 + 3z = -8 + 4z

Solving for variable 'z'.

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

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

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

Combine like terms: 4z + -4z = 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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