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Simplifying 10(9c + -1) + -12 = 88c + 10 Reorder the terms: 10(-1 + 9c) + -12 = 88c + 10 (-1 * 10 + 9c * 10) + -12 = 88c + 10 (-10 + 90c) + -12 = 88c + 10 Reorder the terms: -10 + -12 + 90c = 88c + 10 Combine like terms: -10 + -12 = -22 -22 + 90c = 88c + 10 Reorder the terms: -22 + 90c = 10 + 88c Solving -22 + 90c = 10 + 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. -22 + 90c + -88c = 10 + 88c + -88c Combine like terms: 90c + -88c = 2c -22 + 2c = 10 + 88c + -88c Combine like terms: 88c + -88c = 0 -22 + 2c = 10 + 0 -22 + 2c = 10 Add '22' to each side of the equation. -22 + 22 + 2c = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 2c = 10 + 22 2c = 10 + 22 Combine like terms: 10 + 22 = 32 2c = 32 Divide each side by '2'. c = 16 Simplifying c = 16
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