12z+17=16z-19

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Solution for 12z+17=16z-19 equation:


Simplifying
12z + 17 = 16z + -19

Reorder the terms:
17 + 12z = 16z + -19

Reorder the terms:
17 + 12z = -19 + 16z

Solving
17 + 12z = -19 + 16z

Solving for variable 'z'.

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

Add '-16z' to each side of the equation.
17 + 12z + -16z = -19 + 16z + -16z

Combine like terms: 12z + -16z = -4z
17 + -4z = -19 + 16z + -16z

Combine like terms: 16z + -16z = 0
17 + -4z = -19 + 0
17 + -4z = -19

Add '-17' to each side of the equation.
17 + -17 + -4z = -19 + -17

Combine like terms: 17 + -17 = 0
0 + -4z = -19 + -17
-4z = -19 + -17

Combine like terms: -19 + -17 = -36
-4z = -36

Divide each side by '-4'.
z = 9

Simplifying
z = 9

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