77(z-84)=z+(-2)

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Solution for 77(z-84)=z+(-2) equation:


Simplifying
77(z + -84) = z + (-2)

Reorder the terms:
77(-84 + z) = z + (-2)
(-84 * 77 + z * 77) = z + (-2)
(-6468 + 77z) = z + (-2)
-6468 + 77z = z + -2

Reorder the terms:
-6468 + 77z = -2 + z

Solving
-6468 + 77z = -2 + z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-1z' to each side of the equation.
-6468 + 77z + -1z = -2 + z + -1z

Combine like terms: 77z + -1z = 76z
-6468 + 76z = -2 + z + -1z

Combine like terms: z + -1z = 0
-6468 + 76z = -2 + 0
-6468 + 76z = -2

Add '6468' to each side of the equation.
-6468 + 6468 + 76z = -2 + 6468

Combine like terms: -6468 + 6468 = 0
0 + 76z = -2 + 6468
76z = -2 + 6468

Combine like terms: -2 + 6468 = 6466
76z = 6466

Divide each side by '76'.
z = 85.07894737

Simplifying
z = 85.07894737

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