9z+5=3z+2

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Solution for 9z+5=3z+2 equation:


Simplifying
9z + 5 = 3z + 2

Reorder the terms:
5 + 9z = 3z + 2

Reorder the terms:
5 + 9z = 2 + 3z

Solving
5 + 9z = 2 + 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 + 9z + -3z = 2 + 3z + -3z

Combine like terms: 9z + -3z = 6z
5 + 6z = 2 + 3z + -3z

Combine like terms: 3z + -3z = 0
5 + 6z = 2 + 0
5 + 6z = 2

Add '-5' to each side of the equation.
5 + -5 + 6z = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 6z = 2 + -5
6z = 2 + -5

Combine like terms: 2 + -5 = -3
6z = -3

Divide each side by '6'.
z = -0.5

Simplifying
z = -0.5

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