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Simplifying 9(4 + 2c) + -10 = 8c + 106 (4 * 9 + 2c * 9) + -10 = 8c + 106 (36 + 18c) + -10 = 8c + 106 Reorder the terms: 36 + -10 + 18c = 8c + 106 Combine like terms: 36 + -10 = 26 26 + 18c = 8c + 106 Reorder the terms: 26 + 18c = 106 + 8c Solving 26 + 18c = 106 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 26 + 18c + -8c = 106 + 8c + -8c Combine like terms: 18c + -8c = 10c 26 + 10c = 106 + 8c + -8c Combine like terms: 8c + -8c = 0 26 + 10c = 106 + 0 26 + 10c = 106 Add '-26' to each side of the equation. 26 + -26 + 10c = 106 + -26 Combine like terms: 26 + -26 = 0 0 + 10c = 106 + -26 10c = 106 + -26 Combine like terms: 106 + -26 = 80 10c = 80 Divide each side by '10'. c = 8 Simplifying c = 8
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