10-(3z-7)=8-4z

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Solution for 10-(3z-7)=8-4z equation:


Simplifying
10 + -1(3z + -7) = 8 + -4z

Reorder the terms:
10 + -1(-7 + 3z) = 8 + -4z
10 + (-7 * -1 + 3z * -1) = 8 + -4z
10 + (7 + -3z) = 8 + -4z

Combine like terms: 10 + 7 = 17
17 + -3z = 8 + -4z

Solving
17 + -3z = 8 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
17 + -3z + 4z = 8 + -4z + 4z

Combine like terms: -3z + 4z = 1z
17 + 1z = 8 + -4z + 4z

Combine like terms: -4z + 4z = 0
17 + 1z = 8 + 0
17 + 1z = 8

Add '-17' to each side of the equation.
17 + -17 + 1z = 8 + -17

Combine like terms: 17 + -17 = 0
0 + 1z = 8 + -17
1z = 8 + -17

Combine like terms: 8 + -17 = -9
1z = -9

Divide each side by '1'.
z = -9

Simplifying
z = -9

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