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Simplifying 3(2c + 1) + 20 = 9c + -2(3c + -1) Reorder the terms: 3(1 + 2c) + 20 = 9c + -2(3c + -1) (1 * 3 + 2c * 3) + 20 = 9c + -2(3c + -1) (3 + 6c) + 20 = 9c + -2(3c + -1) Reorder the terms: 3 + 20 + 6c = 9c + -2(3c + -1) Combine like terms: 3 + 20 = 23 23 + 6c = 9c + -2(3c + -1) Reorder the terms: 23 + 6c = 9c + -2(-1 + 3c) 23 + 6c = 9c + (-1 * -2 + 3c * -2) 23 + 6c = 9c + (2 + -6c) Reorder the terms: 23 + 6c = 2 + 9c + -6c Combine like terms: 9c + -6c = 3c 23 + 6c = 2 + 3c Solving 23 + 6c = 2 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 23 + 6c + -3c = 2 + 3c + -3c Combine like terms: 6c + -3c = 3c 23 + 3c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 23 + 3c = 2 + 0 23 + 3c = 2 Add '-23' to each side of the equation. 23 + -23 + 3c = 2 + -23 Combine like terms: 23 + -23 = 0 0 + 3c = 2 + -23 3c = 2 + -23 Combine like terms: 2 + -23 = -21 3c = -21 Divide each side by '3'. c = -7 Simplifying c = -7
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