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

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Solution for 7-(4z-1)=6-5z equation: 


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

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

Combine like terms: 7 + 1 = 8
8 + -4z = 6 + -5z

Solving
8 + -4z = 6 + -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.
8 + -4z + 5z = 6 + -5z + 5z

Combine like terms: -4z + 5z = 1z
8 + 1z = 6 + -5z + 5z

Combine like terms: -5z + 5z = 0
8 + 1z = 6 + 0
8 + 1z = 6

Add '-8' to each side of the equation.
8 + -8 + 1z = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 1z = 6 + -8
1z = 6 + -8

Combine like terms: 6 + -8 = -2
1z = -2

Divide each side by '1'.
z = -2

Simplifying
z = -2

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