-73z+83=53(z+113)

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Solution for -73z+83=53(z+113) equation:


Simplifying
-73z + 83 = 53(z + 113)

Reorder the terms:
83 + -73z = 53(z + 113)

Reorder the terms:
83 + -73z = 53(113 + z)
83 + -73z = (113 * 53 + z * 53)
83 + -73z = (5989 + 53z)

Solving
83 + -73z = 5989 + 53z

Solving for variable 'z'.

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

Add '-53z' to each side of the equation.
83 + -73z + -53z = 5989 + 53z + -53z

Combine like terms: -73z + -53z = -126z
83 + -126z = 5989 + 53z + -53z

Combine like terms: 53z + -53z = 0
83 + -126z = 5989 + 0
83 + -126z = 5989

Add '-83' to each side of the equation.
83 + -83 + -126z = 5989 + -83

Combine like terms: 83 + -83 = 0
0 + -126z = 5989 + -83
-126z = 5989 + -83

Combine like terms: 5989 + -83 = 5906
-126z = 5906

Divide each side by '-126'.
z = -46.87301587

Simplifying
z = -46.87301587

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