3z+15=6z-13

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Solution for 3z+15=6z-13 equation:


Simplifying
3z + 15 = 6z + -13

Reorder the terms:
15 + 3z = 6z + -13

Reorder the terms:
15 + 3z = -13 + 6z

Solving
15 + 3z = -13 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
15 + 3z + -6z = -13 + 6z + -6z

Combine like terms: 3z + -6z = -3z
15 + -3z = -13 + 6z + -6z

Combine like terms: 6z + -6z = 0
15 + -3z = -13 + 0
15 + -3z = -13

Add '-15' to each side of the equation.
15 + -15 + -3z = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -3z = -13 + -15
-3z = -13 + -15

Combine like terms: -13 + -15 = -28
-3z = -28

Divide each side by '-3'.
z = 9.333333333

Simplifying
z = 9.333333333

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