6-(2z-8)=4-3z

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Solution for 6-(2z-8)=4-3z equation:


Simplifying
6 + -1(2z + -8) = 4 + -3z

Reorder the terms:
6 + -1(-8 + 2z) = 4 + -3z
6 + (-8 * -1 + 2z * -1) = 4 + -3z
6 + (8 + -2z) = 4 + -3z

Combine like terms: 6 + 8 = 14
14 + -2z = 4 + -3z

Solving
14 + -2z = 4 + -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.
14 + -2z + 3z = 4 + -3z + 3z

Combine like terms: -2z + 3z = 1z
14 + 1z = 4 + -3z + 3z

Combine like terms: -3z + 3z = 0
14 + 1z = 4 + 0
14 + 1z = 4

Add '-14' to each side of the equation.
14 + -14 + 1z = 4 + -14

Combine like terms: 14 + -14 = 0
0 + 1z = 4 + -14
1z = 4 + -14

Combine like terms: 4 + -14 = -10
1z = -10

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

Simplifying
z = -10

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