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Simplifying 5(3 + c) = (c + -3) (3 * 5 + c * 5) = (c + -3) (15 + 5c) = (c + -3) Reorder the terms: 15 + 5c = (-3 + c) Remove parenthesis around (-3 + c) 15 + 5c = -3 + c Solving 15 + 5c = -3 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 15 + 5c + -1c = -3 + c + -1c Combine like terms: 5c + -1c = 4c 15 + 4c = -3 + c + -1c Combine like terms: c + -1c = 0 15 + 4c = -3 + 0 15 + 4c = -3 Add '-15' to each side of the equation. 15 + -15 + 4c = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 4c = -3 + -15 4c = -3 + -15 Combine like terms: -3 + -15 = -18 4c = -18 Divide each side by '4'. c = -4.5 Simplifying c = -4.5
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