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Simplifying 15(6c + -1) + -2 = 88c + 15 Reorder the terms: 15(-1 + 6c) + -2 = 88c + 15 (-1 * 15 + 6c * 15) + -2 = 88c + 15 (-15 + 90c) + -2 = 88c + 15 Reorder the terms: -15 + -2 + 90c = 88c + 15 Combine like terms: -15 + -2 = -17 -17 + 90c = 88c + 15 Reorder the terms: -17 + 90c = 15 + 88c Solving -17 + 90c = 15 + 88c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-88c' to each side of the equation. -17 + 90c + -88c = 15 + 88c + -88c Combine like terms: 90c + -88c = 2c -17 + 2c = 15 + 88c + -88c Combine like terms: 88c + -88c = 0 -17 + 2c = 15 + 0 -17 + 2c = 15 Add '17' to each side of the equation. -17 + 17 + 2c = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 15 + 17 2c = 15 + 17 Combine like terms: 15 + 17 = 32 2c = 32 Divide each side by '2'. c = 16 Simplifying c = 16
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