3z+9=8z-22

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Solution for 3z+9=8z-22 equation:


Simplifying
3z + 9 = 8z + -22

Reorder the terms:
9 + 3z = 8z + -22

Reorder the terms:
9 + 3z = -22 + 8z

Solving
9 + 3z = -22 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
9 + 3z + -8z = -22 + 8z + -8z

Combine like terms: 3z + -8z = -5z
9 + -5z = -22 + 8z + -8z

Combine like terms: 8z + -8z = 0
9 + -5z = -22 + 0
9 + -5z = -22

Add '-9' to each side of the equation.
9 + -9 + -5z = -22 + -9

Combine like terms: 9 + -9 = 0
0 + -5z = -22 + -9
-5z = -22 + -9

Combine like terms: -22 + -9 = -31
-5z = -31

Divide each side by '-5'.
z = 6.2

Simplifying
z = 6.2

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