2z+9=z+22

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Solution for 2z+9=z+22 equation:


Simplifying
2z + 9 = z + 22

Reorder the terms:
9 + 2z = z + 22

Reorder the terms:
9 + 2z = 22 + z

Solving
9 + 2z = 22 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
9 + 2z + -1z = 22 + z + -1z

Combine like terms: 2z + -1z = 1z
9 + 1z = 22 + z + -1z

Combine like terms: z + -1z = 0
9 + 1z = 22 + 0
9 + 1z = 22

Add '-9' to each side of the equation.
9 + -9 + 1z = 22 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 22 + -9
1z = 22 + -9

Combine like terms: 22 + -9 = 13
1z = 13

Divide each side by '1'.
z = 13

Simplifying
z = 13

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