10z-z=-3+7z-2-1

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Solution for 10z-z=-3+7z-2-1 equation:


Simplifying
10z + -1z = -3 + 7z + -2 + -1

Combine like terms: 10z + -1z = 9z
9z = -3 + 7z + -2 + -1

Reorder the terms:
9z = -3 + -2 + -1 + 7z

Combine like terms: -3 + -2 = -5
9z = -5 + -1 + 7z

Combine like terms: -5 + -1 = -6
9z = -6 + 7z

Solving
9z = -6 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
9z + -7z = -6 + 7z + -7z

Combine like terms: 9z + -7z = 2z
2z = -6 + 7z + -7z

Combine like terms: 7z + -7z = 0
2z = -6 + 0
2z = -6

Divide each side by '2'.
z = -3

Simplifying
z = -3

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