3z+6=8z-8

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Solution for 3z+6=8z-8 equation:


Simplifying
3z + 6 = 8z + -8

Reorder the terms:
6 + 3z = 8z + -8

Reorder the terms:
6 + 3z = -8 + 8z

Solving
6 + 3z = -8 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
6 + 3z + -8z = -8 + 8z + -8z

Combine like terms: 3z + -8z = -5z
6 + -5z = -8 + 8z + -8z

Combine like terms: 8z + -8z = 0
6 + -5z = -8 + 0
6 + -5z = -8

Add '-6' to each side of the equation.
6 + -6 + -5z = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -5z = -8 + -6
-5z = -8 + -6

Combine like terms: -8 + -6 = -14
-5z = -14

Divide each side by '-5'.
z = 2.8

Simplifying
z = 2.8

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