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Simplifying 5(6c + -1) + -12 = 28c + 5 Reorder the terms: 5(-1 + 6c) + -12 = 28c + 5 (-1 * 5 + 6c * 5) + -12 = 28c + 5 (-5 + 30c) + -12 = 28c + 5 Reorder the terms: -5 + -12 + 30c = 28c + 5 Combine like terms: -5 + -12 = -17 -17 + 30c = 28c + 5 Reorder the terms: -17 + 30c = 5 + 28c Solving -17 + 30c = 5 + 28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28c' to each side of the equation. -17 + 30c + -28c = 5 + 28c + -28c Combine like terms: 30c + -28c = 2c -17 + 2c = 5 + 28c + -28c Combine like terms: 28c + -28c = 0 -17 + 2c = 5 + 0 -17 + 2c = 5 Add '17' to each side of the equation. -17 + 17 + 2c = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 5 + 17 2c = 5 + 17 Combine like terms: 5 + 17 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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