6z+56=16z-24

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Solution for 6z+56=16z-24 equation:


Simplifying
6z + 56 = 16z + -24

Reorder the terms:
56 + 6z = 16z + -24

Reorder the terms:
56 + 6z = -24 + 16z

Solving
56 + 6z = -24 + 16z

Solving for variable 'z'.

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

Add '-16z' to each side of the equation.
56 + 6z + -16z = -24 + 16z + -16z

Combine like terms: 6z + -16z = -10z
56 + -10z = -24 + 16z + -16z

Combine like terms: 16z + -16z = 0
56 + -10z = -24 + 0
56 + -10z = -24

Add '-56' to each side of the equation.
56 + -56 + -10z = -24 + -56

Combine like terms: 56 + -56 = 0
0 + -10z = -24 + -56
-10z = -24 + -56

Combine like terms: -24 + -56 = -80
-10z = -80

Divide each side by '-10'.
z = 8

Simplifying
z = 8

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