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Simplifying 15(8c + -1) + -10 = 118c + 15 Reorder the terms: 15(-1 + 8c) + -10 = 118c + 15 (-1 * 15 + 8c * 15) + -10 = 118c + 15 (-15 + 120c) + -10 = 118c + 15 Reorder the terms: -15 + -10 + 120c = 118c + 15 Combine like terms: -15 + -10 = -25 -25 + 120c = 118c + 15 Reorder the terms: -25 + 120c = 15 + 118c Solving -25 + 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. -25 + 120c + -118c = 15 + 118c + -118c Combine like terms: 120c + -118c = 2c -25 + 2c = 15 + 118c + -118c Combine like terms: 118c + -118c = 0 -25 + 2c = 15 + 0 -25 + 2c = 15 Add '25' to each side of the equation. -25 + 25 + 2c = 15 + 25 Combine like terms: -25 + 25 = 0 0 + 2c = 15 + 25 2c = 15 + 25 Combine like terms: 15 + 25 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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