8-(4z-6)=2-5z

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Solution for 8-(4z-6)=2-5z equation:


Simplifying
8 + -1(4z + -6) = 2 + -5z

Reorder the terms:
8 + -1(-6 + 4z) = 2 + -5z
8 + (-6 * -1 + 4z * -1) = 2 + -5z
8 + (6 + -4z) = 2 + -5z

Combine like terms: 8 + 6 = 14
14 + -4z = 2 + -5z

Solving
14 + -4z = 2 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
14 + -4z + 5z = 2 + -5z + 5z

Combine like terms: -4z + 5z = 1z
14 + 1z = 2 + -5z + 5z

Combine like terms: -5z + 5z = 0
14 + 1z = 2 + 0
14 + 1z = 2

Add '-14' to each side of the equation.
14 + -14 + 1z = 2 + -14

Combine like terms: 14 + -14 = 0
0 + 1z = 2 + -14
1z = 2 + -14

Combine like terms: 2 + -14 = -12
1z = -12

Divide each side by '1'.
z = -12

Simplifying
z = -12

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