6z+28=13z-56

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Solution for 6z+28=13z-56 equation:


Simplifying
6z + 28 = 13z + -56

Reorder the terms:
28 + 6z = 13z + -56

Reorder the terms:
28 + 6z = -56 + 13z

Solving
28 + 6z = -56 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
28 + 6z + -13z = -56 + 13z + -13z

Combine like terms: 6z + -13z = -7z
28 + -7z = -56 + 13z + -13z

Combine like terms: 13z + -13z = 0
28 + -7z = -56 + 0
28 + -7z = -56

Add '-28' to each side of the equation.
28 + -28 + -7z = -56 + -28

Combine like terms: 28 + -28 = 0
0 + -7z = -56 + -28
-7z = -56 + -28

Combine like terms: -56 + -28 = -84
-7z = -84

Divide each side by '-7'.
z = 12

Simplifying
z = 12

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