7z+10-4z=2+2z-7

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Solution for 7z+10-4z=2+2z-7 equation: 


Simplifying
7z + 10 + -4z = 2 + 2z + -7

Reorder the terms:
10 + 7z + -4z = 2 + 2z + -7

Combine like terms: 7z + -4z = 3z
10 + 3z = 2 + 2z + -7

Reorder the terms:
10 + 3z = 2 + -7 + 2z

Combine like terms: 2 + -7 = -5
10 + 3z = -5 + 2z

Solving
10 + 3z = -5 + 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.
10 + 3z + -2z = -5 + 2z + -2z

Combine like terms: 3z + -2z = 1z
10 + 1z = -5 + 2z + -2z

Combine like terms: 2z + -2z = 0
10 + 1z = -5 + 0
10 + 1z = -5

Add '-10' to each side of the equation.
10 + -10 + 1z = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = -5 + -10
1z = -5 + -10

Combine like terms: -5 + -10 = -15
1z = -15

Divide each side by '1'.
z = -15

Simplifying
z = -15

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