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Simplifying 2c + 3(5 + -3c) = 12 + -4c 2c + (5 * 3 + -3c * 3) = 12 + -4c 2c + (15 + -9c) = 12 + -4c Reorder the terms: 15 + 2c + -9c = 12 + -4c Combine like terms: 2c + -9c = -7c 15 + -7c = 12 + -4c Solving 15 + -7c = 12 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 15 + -7c + 4c = 12 + -4c + 4c Combine like terms: -7c + 4c = -3c 15 + -3c = 12 + -4c + 4c Combine like terms: -4c + 4c = 0 15 + -3c = 12 + 0 15 + -3c = 12 Add '-15' to each side of the equation. 15 + -15 + -3c = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -3c = 12 + -15 -3c = 12 + -15 Combine like terms: 12 + -15 = -3 -3c = -3 Divide each side by '-3'. c = 1 Simplifying c = 1
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