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Simplifying 15(6c + -1) + -16 = 88c + 15 Reorder the terms: 15(-1 + 6c) + -16 = 88c + 15 (-1 * 15 + 6c * 15) + -16 = 88c + 15 (-15 + 90c) + -16 = 88c + 15 Reorder the terms: -15 + -16 + 90c = 88c + 15 Combine like terms: -15 + -16 = -31 -31 + 90c = 88c + 15 Reorder the terms: -31 + 90c = 15 + 88c Solving -31 + 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. -31 + 90c + -88c = 15 + 88c + -88c Combine like terms: 90c + -88c = 2c -31 + 2c = 15 + 88c + -88c Combine like terms: 88c + -88c = 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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