10z+6=2z-8

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Solution for 10z+6=2z-8 equation:


Simplifying
10z + 6 = 2z + -8

Reorder the terms:
6 + 10z = 2z + -8

Reorder the terms:
6 + 10z = -8 + 2z

Solving
6 + 10z = -8 + 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.
6 + 10z + -2z = -8 + 2z + -2z

Combine like terms: 10z + -2z = 8z
6 + 8z = -8 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 8z = -8 + 0
6 + 8z = -8

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

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

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

Divide each side by '8'.
z = -1.75

Simplifying
z = -1.75

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