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Simplifying 3(5c + 1) + -12 = 3 + 13c Reorder the terms: 3(1 + 5c) + -12 = 3 + 13c (1 * 3 + 5c * 3) + -12 = 3 + 13c (3 + 15c) + -12 = 3 + 13c Reorder the terms: 3 + -12 + 15c = 3 + 13c Combine like terms: 3 + -12 = -9 -9 + 15c = 3 + 13c Solving -9 + 15c = 3 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. -9 + 15c + -13c = 3 + 13c + -13c Combine like terms: 15c + -13c = 2c -9 + 2c = 3 + 13c + -13c Combine like terms: 13c + -13c = 0 -9 + 2c = 3 + 0 -9 + 2c = 3 Add '9' to each side of the equation. -9 + 9 + 2c = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 3 + 9 2c = 3 + 9 Combine like terms: 3 + 9 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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