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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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