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Simplifying 15(8c + -1) + -12 = 118c + 15 Reorder the terms: 15(-1 + 8c) + -12 = 118c + 15 (-1 * 15 + 8c * 15) + -12 = 118c + 15 (-15 + 120c) + -12 = 118c + 15 Reorder the terms: -15 + -12 + 120c = 118c + 15 Combine like terms: -15 + -12 = -27 -27 + 120c = 118c + 15 Reorder the terms: -27 + 120c = 15 + 118c Solving -27 + 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. -27 + 120c + -118c = 15 + 118c + -118c Combine like terms: 120c + -118c = 2c -27 + 2c = 15 + 118c + -118c Combine like terms: 118c + -118c = 0 -27 + 2c = 15 + 0 -27 + 2c = 15 Add '27' to each side of the equation. -27 + 27 + 2c = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 2c = 15 + 27 2c = 15 + 27 Combine like terms: 15 + 27 = 42 2c = 42 Divide each side by '2'. c = 21 Simplifying c = 21
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