3z-(8-z)=z+7

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Solution for 3z-(8-z)=z+7 equation:


Simplifying
3z + -1(8 + -1z) = z + 7
3z + (8 * -1 + -1z * -1) = z + 7
3z + (-8 + 1z) = z + 7

Reorder the terms:
-8 + 3z + 1z = z + 7

Combine like terms: 3z + 1z = 4z
-8 + 4z = z + 7

Reorder the terms:
-8 + 4z = 7 + z

Solving
-8 + 4z = 7 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-8 + 4z + -1z = 7 + z + -1z

Combine like terms: 4z + -1z = 3z
-8 + 3z = 7 + z + -1z

Combine like terms: z + -1z = 0
-8 + 3z = 7 + 0
-8 + 3z = 7

Add '8' to each side of the equation.
-8 + 8 + 3z = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3z = 7 + 8
3z = 7 + 8

Combine like terms: 7 + 8 = 15
3z = 15

Divide each side by '3'.
z = 5

Simplifying
z = 5

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