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Simplifying 3(5c + 1) + -12 = 13 + 3 Reorder the terms: 3(1 + 5c) + -12 = 13 + 3 (1 * 3 + 5c * 3) + -12 = 13 + 3 (3 + 15c) + -12 = 13 + 3 Reorder the terms: 3 + -12 + 15c = 13 + 3 Combine like terms: 3 + -12 = -9 -9 + 15c = 13 + 3 Combine like terms: 13 + 3 = 16 -9 + 15c = 16 Solving -9 + 15c = 16 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 15c = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 15c = 16 + 9 15c = 16 + 9 Combine like terms: 16 + 9 = 25 15c = 25 Divide each side by '15'. c = 1.666666667 Simplifying c = 1.666666667
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