7z+2=5z-10

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Solution for 7z+2=5z-10 equation: 


Simplifying
7z + 2 = 5z + -10

Reorder the terms:
2 + 7z = 5z + -10

Reorder the terms:
2 + 7z = -10 + 5z

Solving
2 + 7z = -10 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
2 + 7z + -5z = -10 + 5z + -5z

Combine like terms: 7z + -5z = 2z
2 + 2z = -10 + 5z + -5z

Combine like terms: 5z + -5z = 0
2 + 2z = -10 + 0
2 + 2z = -10

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

Combine like terms: 2 + -2 = 0
0 + 2z = -10 + -2
2z = -10 + -2

Combine like terms: -10 + -2 = -12
2z = -12

Divide each side by '2'.
z = -6

Simplifying
z = -6

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