3z+12=4z+6

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Solution for 3z+12=4z+6 equation:


Simplifying
3z + 12 = 4z + 6

Reorder the terms:
12 + 3z = 4z + 6

Reorder the terms:
12 + 3z = 6 + 4z

Solving
12 + 3z = 6 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
12 + 3z + -4z = 6 + 4z + -4z

Combine like terms: 3z + -4z = -1z
12 + -1z = 6 + 4z + -4z

Combine like terms: 4z + -4z = 0
12 + -1z = 6 + 0
12 + -1z = 6

Add '-12' to each side of the equation.
12 + -12 + -1z = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -1z = 6 + -12
-1z = 6 + -12

Combine like terms: 6 + -12 = -6
-1z = -6

Divide each side by '-1'.
z = 6

Simplifying
z = 6

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