-61(z-56)=z+(-28)

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Solution for -61(z-56)=z+(-28) equation:


Simplifying
-61(z + -56) = z + (-28)

Reorder the terms:
-61(-56 + z) = z + (-28)
(-56 * -61 + z * -61) = z + (-28)
(3416 + -61z) = z + (-28)
3416 + -61z = z + -28

Reorder the terms:
3416 + -61z = -28 + z

Solving
3416 + -61z = -28 + 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.
3416 + -61z + -1z = -28 + z + -1z

Combine like terms: -61z + -1z = -62z
3416 + -62z = -28 + z + -1z

Combine like terms: z + -1z = 0
3416 + -62z = -28 + 0
3416 + -62z = -28

Add '-3416' to each side of the equation.
3416 + -3416 + -62z = -28 + -3416

Combine like terms: 3416 + -3416 = 0
0 + -62z = -28 + -3416
-62z = -28 + -3416

Combine like terms: -28 + -3416 = -3444
-62z = -3444

Divide each side by '-62'.
z = 55.5483871

Simplifying
z = 55.5483871

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