6-(4z-5)=7-5z

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Solution for 6-(4z-5)=7-5z equation:


Simplifying
6 + -1(4z + -5) = 7 + -5z

Reorder the terms:
6 + -1(-5 + 4z) = 7 + -5z
6 + (-5 * -1 + 4z * -1) = 7 + -5z
6 + (5 + -4z) = 7 + -5z

Combine like terms: 6 + 5 = 11
11 + -4z = 7 + -5z

Solving
11 + -4z = 7 + -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.
11 + -4z + 5z = 7 + -5z + 5z

Combine like terms: -4z + 5z = 1z
11 + 1z = 7 + -5z + 5z

Combine like terms: -5z + 5z = 0
11 + 1z = 7 + 0
11 + 1z = 7

Add '-11' to each side of the equation.
11 + -11 + 1z = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 1z = 7 + -11
1z = 7 + -11

Combine like terms: 7 + -11 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4

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