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Simplifying 15(8c + -1) + -16 = 118c + 15 Reorder the terms: 15(-1 + 8c) + -16 = 118c + 15 (-1 * 15 + 8c * 15) + -16 = 118c + 15 (-15 + 120c) + -16 = 118c + 15 Reorder the terms: -15 + -16 + 120c = 118c + 15 Combine like terms: -15 + -16 = -31 -31 + 120c = 118c + 15 Reorder the terms: -31 + 120c = 15 + 118c Solving -31 + 120c = 15 + 118c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-118c' to each side of the equation. -31 + 120c + -118c = 15 + 118c + -118c Combine like terms: 120c + -118c = 2c -31 + 2c = 15 + 118c + -118c Combine like terms: 118c + -118c = 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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