6z+9=13z-12

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Solution for 6z+9=13z-12 equation:


Simplifying
6z + 9 = 13z + -12

Reorder the terms:
9 + 6z = 13z + -12

Reorder the terms:
9 + 6z = -12 + 13z

Solving
9 + 6z = -12 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
9 + 6z + -13z = -12 + 13z + -13z

Combine like terms: 6z + -13z = -7z
9 + -7z = -12 + 13z + -13z

Combine like terms: 13z + -13z = 0
9 + -7z = -12 + 0
9 + -7z = -12

Add '-9' to each side of the equation.
9 + -9 + -7z = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -7z = -12 + -9
-7z = -12 + -9

Combine like terms: -12 + -9 = -21
-7z = -21

Divide each side by '-7'.
z = 3

Simplifying
z = 3

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