3z+15=2z+6

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Solution for 3z+15=2z+6 equation:


Simplifying
3z + 15 = 2z + 6

Reorder the terms:
15 + 3z = 2z + 6

Reorder the terms:
15 + 3z = 6 + 2z

Solving
15 + 3z = 6 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
15 + 3z + -2z = 6 + 2z + -2z

Combine like terms: 3z + -2z = 1z
15 + 1z = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
15 + 1z = 6 + 0
15 + 1z = 6

Add '-15' to each side of the equation.
15 + -15 + 1z = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = 6 + -15
1z = 6 + -15

Combine like terms: 6 + -15 = -9
1z = -9

Divide each side by '1'.
z = -9

Simplifying
z = -9

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