-18.5=-4.5+3.5(c-8.5)

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Solution for -18.5=-4.5+3.5(c-8.5) equation:


Simplifying
-18.5 = -4.5 + 3.5(c + -8.5)

Reorder the terms:
-18.5 = -4.5 + 3.5(-8.5 + c)
-18.5 = -4.5 + (-8.5 * 3.5 + c * 3.5)
-18.5 = -4.5 + (-29.75 + 3.5c)

Combine like terms: -4.5 + -29.75 = -34.25
-18.5 = -34.25 + 3.5c

Solving
-18.5 = -34.25 + 3.5c

Solving for variable 'c'.

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

Add '-3.5c' to each side of the equation.
-18.5 + -3.5c = -34.25 + 3.5c + -3.5c

Combine like terms: 3.5c + -3.5c = 0.0
-18.5 + -3.5c = -34.25 + 0.0
-18.5 + -3.5c = -34.25

Add '18.5' to each side of the equation.
-18.5 + 18.5 + -3.5c = -34.25 + 18.5

Combine like terms: -18.5 + 18.5 = 0.0
0.0 + -3.5c = -34.25 + 18.5
-3.5c = -34.25 + 18.5

Combine like terms: -34.25 + 18.5 = -15.75
-3.5c = -15.75

Divide each side by '-3.5'.
c = 4.5

Simplifying
c = 4.5

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