-68(z-1)=-5(z+2)

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Solution for -68(z-1)=-5(z+2) equation:


Simplifying
-68(z + -1) = -5(z + 2)

Reorder the terms:
-68(-1 + z) = -5(z + 2)
(-1 * -68 + z * -68) = -5(z + 2)
(68 + -68z) = -5(z + 2)

Reorder the terms:
68 + -68z = -5(2 + z)
68 + -68z = (2 * -5 + z * -5)
68 + -68z = (-10 + -5z)

Solving
68 + -68z = -10 + -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.
68 + -68z + 5z = -10 + -5z + 5z

Combine like terms: -68z + 5z = -63z
68 + -63z = -10 + -5z + 5z

Combine like terms: -5z + 5z = 0
68 + -63z = -10 + 0
68 + -63z = -10

Add '-68' to each side of the equation.
68 + -68 + -63z = -10 + -68

Combine like terms: 68 + -68 = 0
0 + -63z = -10 + -68
-63z = -10 + -68

Combine like terms: -10 + -68 = -78
-63z = -78

Divide each side by '-63'.
z = 1.238095238

Simplifying
z = 1.238095238

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