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Simplifying 10 + 5 + c = 5(c + -4) Combine like terms: 10 + 5 = 15 15 + c = 5(c + -4) Reorder the terms: 15 + c = 5(-4 + c) 15 + c = (-4 * 5 + c * 5) 15 + c = (-20 + 5c) Solving 15 + c = -20 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 15 + c + -5c = -20 + 5c + -5c Combine like terms: c + -5c = -4c 15 + -4c = -20 + 5c + -5c Combine like terms: 5c + -5c = 0 15 + -4c = -20 + 0 15 + -4c = -20 Add '-15' to each side of the equation. 15 + -15 + -4c = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -4c = -20 + -15 -4c = -20 + -15 Combine like terms: -20 + -15 = -35 -4c = -35 Divide each side by '-4'. c = 8.75 Simplifying c = 8.75
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