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Simplifying 9(c + 5) + -10 = 5(2c + 1) + -6c Reorder the terms: 9(5 + c) + -10 = 5(2c + 1) + -6c (5 * 9 + c * 9) + -10 = 5(2c + 1) + -6c (45 + 9c) + -10 = 5(2c + 1) + -6c Reorder the terms: 45 + -10 + 9c = 5(2c + 1) + -6c Combine like terms: 45 + -10 = 35 35 + 9c = 5(2c + 1) + -6c Reorder the terms: 35 + 9c = 5(1 + 2c) + -6c 35 + 9c = (1 * 5 + 2c * 5) + -6c 35 + 9c = (5 + 10c) + -6c Combine like terms: 10c + -6c = 4c 35 + 9c = 5 + 4c Solving 35 + 9c = 5 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 35 + 9c + -4c = 5 + 4c + -4c Combine like terms: 9c + -4c = 5c 35 + 5c = 5 + 4c + -4c Combine like terms: 4c + -4c = 0 35 + 5c = 5 + 0 35 + 5c = 5 Add '-35' to each side of the equation. 35 + -35 + 5c = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 5c = 5 + -35 5c = 5 + -35 Combine like terms: 5 + -35 = -30 5c = -30 Divide each side by '5'. c = -6 Simplifying c = -6
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