-5(z-7)=-4z-2

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Solution for -5(z-7)=-4z-2 equation:


Simplifying
-5(z + -7) = -4z + -2

Reorder the terms:
-5(-7 + z) = -4z + -2
(-7 * -5 + z * -5) = -4z + -2
(35 + -5z) = -4z + -2

Reorder the terms:
35 + -5z = -2 + -4z

Solving
35 + -5z = -2 + -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.
35 + -5z + 4z = -2 + -4z + 4z

Combine like terms: -5z + 4z = -1z
35 + -1z = -2 + -4z + 4z

Combine like terms: -4z + 4z = 0
35 + -1z = -2 + 0
35 + -1z = -2

Add '-35' to each side of the equation.
35 + -35 + -1z = -2 + -35

Combine like terms: 35 + -35 = 0
0 + -1z = -2 + -35
-1z = -2 + -35

Combine like terms: -2 + -35 = -37
-1z = -37

Divide each side by '-1'.
z = 37

Simplifying
z = 37

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