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Simplifying (5 + c) * 3 = (5 + -1c) * 7 Reorder the terms for easier multiplication: 3(5 + c) = (5 + -1c) * 7 (5 * 3 + c * 3) = (5 + -1c) * 7 (15 + 3c) = (5 + -1c) * 7 Reorder the terms for easier multiplication: 15 + 3c = 7(5 + -1c) 15 + 3c = (5 * 7 + -1c * 7) 15 + 3c = (35 + -7c) Solving 15 + 3c = 35 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 15 + 3c + 7c = 35 + -7c + 7c Combine like terms: 3c + 7c = 10c 15 + 10c = 35 + -7c + 7c Combine like terms: -7c + 7c = 0 15 + 10c = 35 + 0 15 + 10c = 35 Add '-15' to each side of the equation. 15 + -15 + 10c = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 10c = 35 + -15 10c = 35 + -15 Combine like terms: 35 + -15 = 20 10c = 20 Divide each side by '10'. c = 2 Simplifying c = 2
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