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Simplifying 9(c + 2) + -11 = 5(2c + 3) + -2c Reorder the terms: 9(2 + c) + -11 = 5(2c + 3) + -2c (2 * 9 + c * 9) + -11 = 5(2c + 3) + -2c (18 + 9c) + -11 = 5(2c + 3) + -2c Reorder the terms: 18 + -11 + 9c = 5(2c + 3) + -2c Combine like terms: 18 + -11 = 7 7 + 9c = 5(2c + 3) + -2c Reorder the terms: 7 + 9c = 5(3 + 2c) + -2c 7 + 9c = (3 * 5 + 2c * 5) + -2c 7 + 9c = (15 + 10c) + -2c Combine like terms: 10c + -2c = 8c 7 + 9c = 15 + 8c Solving 7 + 9c = 15 + 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. 7 + 9c + -8c = 15 + 8c + -8c Combine like terms: 9c + -8c = 1c 7 + 1c = 15 + 8c + -8c Combine like terms: 8c + -8c = 0 7 + 1c = 15 + 0 7 + 1c = 15 Add '-7' to each side of the equation. 7 + -7 + 1c = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1c = 15 + -7 1c = 15 + -7 Combine like terms: 15 + -7 = 8 1c = 8 Divide each side by '1'. c = 8 Simplifying c = 8
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