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

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


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

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

Combine like terms: 7 + 5 = 12
12 + -4z = 5 + -5z

Solving
12 + -4z = 5 + -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.
12 + -4z + 5z = 5 + -5z + 5z

Combine like terms: -4z + 5z = 1z
12 + 1z = 5 + -5z + 5z

Combine like terms: -5z + 5z = 0
12 + 1z = 5 + 0
12 + 1z = 5

Add '-12' to each side of the equation.
12 + -12 + 1z = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 1z = 5 + -12
1z = 5 + -12

Combine like terms: 5 + -12 = -7
1z = -7

Divide each side by '1'.
z = -7

Simplifying
z = -7

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