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Simplifying (15c + 30) = 3(102 + -12c) Reorder the terms: (30 + 15c) = 3(102 + -12c) Remove parenthesis around (30 + 15c) 30 + 15c = 3(102 + -12c) 30 + 15c = (102 * 3 + -12c * 3) 30 + 15c = (306 + -36c) Solving 30 + 15c = 306 + -36c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '36c' to each side of the equation. 30 + 15c + 36c = 306 + -36c + 36c Combine like terms: 15c + 36c = 51c 30 + 51c = 306 + -36c + 36c Combine like terms: -36c + 36c = 0 30 + 51c = 306 + 0 30 + 51c = 306 Add '-30' to each side of the equation. 30 + -30 + 51c = 306 + -30 Combine like terms: 30 + -30 = 0 0 + 51c = 306 + -30 51c = 306 + -30 Combine like terms: 306 + -30 = 276 51c = 276 Divide each side by '51'. c = 5.411764706 Simplifying c = 5.411764706
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