10-(2z-8)=8-3z

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Solution for 10-(2z-8)=8-3z equation:


Simplifying
10 + -1(2z + -8) = 8 + -3z

Reorder the terms:
10 + -1(-8 + 2z) = 8 + -3z
10 + (-8 * -1 + 2z * -1) = 8 + -3z
10 + (8 + -2z) = 8 + -3z

Combine like terms: 10 + 8 = 18
18 + -2z = 8 + -3z

Solving
18 + -2z = 8 + -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.
18 + -2z + 3z = 8 + -3z + 3z

Combine like terms: -2z + 3z = 1z
18 + 1z = 8 + -3z + 3z

Combine like terms: -3z + 3z = 0
18 + 1z = 8 + 0
18 + 1z = 8

Add '-18' to each side of the equation.
18 + -18 + 1z = 8 + -18

Combine like terms: 18 + -18 = 0
0 + 1z = 8 + -18
1z = 8 + -18

Combine like terms: 8 + -18 = -10
1z = -10

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

Simplifying
z = -10

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