7z+10-3z=8+3z-8

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Solution for 7z+10-3z=8+3z-8 equation:


Simplifying
7z + 10 + -3z = 8 + 3z + -8

Reorder the terms:
10 + 7z + -3z = 8 + 3z + -8

Combine like terms: 7z + -3z = 4z
10 + 4z = 8 + 3z + -8

Reorder the terms:
10 + 4z = 8 + -8 + 3z

Combine like terms: 8 + -8 = 0
10 + 4z = 0 + 3z
10 + 4z = 3z

Solving
10 + 4z = 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
10 + 4z + -3z = 3z + -3z

Combine like terms: 4z + -3z = 1z
10 + 1z = 3z + -3z

Combine like terms: 3z + -3z = 0
10 + 1z = 0

Add '-10' to each side of the equation.
10 + -10 + 1z = 0 + -10

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

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

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

Simplifying
z = -10

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