6-(3z-2)=5-4z

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Solution for 6-(3z-2)=5-4z equation:


Simplifying
6 + -1(3z + -2) = 5 + -4z

Reorder the terms:
6 + -1(-2 + 3z) = 5 + -4z
6 + (-2 * -1 + 3z * -1) = 5 + -4z
6 + (2 + -3z) = 5 + -4z

Combine like terms: 6 + 2 = 8
8 + -3z = 5 + -4z

Solving
8 + -3z = 5 + -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.
8 + -3z + 4z = 5 + -4z + 4z

Combine like terms: -3z + 4z = 1z
8 + 1z = 5 + -4z + 4z

Combine like terms: -4z + 4z = 0
8 + 1z = 5 + 0
8 + 1z = 5

Add '-8' to each side of the equation.
8 + -8 + 1z = 5 + -8

Combine like terms: 8 + -8 = 0
0 + 1z = 5 + -8
1z = 5 + -8

Combine like terms: 5 + -8 = -3
1z = -3

Divide each side by '1'.
z = -3

Simplifying
z = -3

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