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Simplifying 9(4c + -1) + -12 = 34c + 9 Reorder the terms: 9(-1 + 4c) + -12 = 34c + 9 (-1 * 9 + 4c * 9) + -12 = 34c + 9 (-9 + 36c) + -12 = 34c + 9 Reorder the terms: -9 + -12 + 36c = 34c + 9 Combine like terms: -9 + -12 = -21 -21 + 36c = 34c + 9 Reorder the terms: -21 + 36c = 9 + 34c Solving -21 + 36c = 9 + 34c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-34c' to each side of the equation. -21 + 36c + -34c = 9 + 34c + -34c Combine like terms: 36c + -34c = 2c -21 + 2c = 9 + 34c + -34c Combine like terms: 34c + -34c = 0 -21 + 2c = 9 + 0 -21 + 2c = 9 Add '21' to each side of the equation. -21 + 21 + 2c = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 2c = 9 + 21 2c = 9 + 21 Combine like terms: 9 + 21 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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