-6z+12=5z-21

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Solution for -6z+12=5z-21 equation:


Simplifying
-6z + 12 = 5z + -21

Reorder the terms:
12 + -6z = 5z + -21

Reorder the terms:
12 + -6z = -21 + 5z

Solving
12 + -6z = -21 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
12 + -6z + -5z = -21 + 5z + -5z

Combine like terms: -6z + -5z = -11z
12 + -11z = -21 + 5z + -5z

Combine like terms: 5z + -5z = 0
12 + -11z = -21 + 0
12 + -11z = -21

Add '-12' to each side of the equation.
12 + -12 + -11z = -21 + -12

Combine like terms: 12 + -12 = 0
0 + -11z = -21 + -12
-11z = -21 + -12

Combine like terms: -21 + -12 = -33
-11z = -33

Divide each side by '-11'.
z = 3

Simplifying
z = 3

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