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Simplifying 15(9c + -1) + -16 = 133c + 15 Reorder the terms: 15(-1 + 9c) + -16 = 133c + 15 (-1 * 15 + 9c * 15) + -16 = 133c + 15 (-15 + 135c) + -16 = 133c + 15 Reorder the terms: -15 + -16 + 135c = 133c + 15 Combine like terms: -15 + -16 = -31 -31 + 135c = 133c + 15 Reorder the terms: -31 + 135c = 15 + 133c Solving -31 + 135c = 15 + 133c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-133c' to each side of the equation. -31 + 135c + -133c = 15 + 133c + -133c Combine like terms: 135c + -133c = 2c -31 + 2c = 15 + 133c + -133c Combine like terms: 133c + -133c = 0 -31 + 2c = 15 + 0 -31 + 2c = 15 Add '31' to each side of the equation. -31 + 31 + 2c = 15 + 31 Combine like terms: -31 + 31 = 0 0 + 2c = 15 + 31 2c = 15 + 31 Combine like terms: 15 + 31 = 46 2c = 46 Divide each side by '2'. c = 23 Simplifying c = 23
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