10z+2=9z-8

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Solution for 10z+2=9z-8 equation:


Simplifying
10z + 2 = 9z + -8

Reorder the terms:
2 + 10z = 9z + -8

Reorder the terms:
2 + 10z = -8 + 9z

Solving
2 + 10z = -8 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
2 + 10z + -9z = -8 + 9z + -9z

Combine like terms: 10z + -9z = 1z
2 + 1z = -8 + 9z + -9z

Combine like terms: 9z + -9z = 0
2 + 1z = -8 + 0
2 + 1z = -8

Add '-2' to each side of the equation.
2 + -2 + 1z = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 1z = -8 + -2
1z = -8 + -2

Combine like terms: -8 + -2 = -10
1z = -10

Divide each side by '1'.
z = -10

Simplifying
z = -10

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