-3z+2=-7z-22

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Solution for -3z+2=-7z-22 equation: 


Simplifying
-3z + 2 = -7z + -22

Reorder the terms:
2 + -3z = -7z + -22

Reorder the terms:
2 + -3z = -22 + -7z

Solving
2 + -3z = -22 + -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.
2 + -3z + 7z = -22 + -7z + 7z

Combine like terms: -3z + 7z = 4z
2 + 4z = -22 + -7z + 7z

Combine like terms: -7z + 7z = 0
2 + 4z = -22 + 0
2 + 4z = -22

Add '-2' to each side of the equation.
2 + -2 + 4z = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 4z = -22 + -2
4z = -22 + -2

Combine like terms: -22 + -2 = -24
4z = -24

Divide each side by '4'.
z = -6

Simplifying
z = -6

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