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Simplifying 3(2c + 1) = 2(1 + -1c) + -1 Reorder the terms: 3(1 + 2c) = 2(1 + -1c) + -1 (1 * 3 + 2c * 3) = 2(1 + -1c) + -1 (3 + 6c) = 2(1 + -1c) + -1 3 + 6c = (1 * 2 + -1c * 2) + -1 3 + 6c = (2 + -2c) + -1 Reorder the terms: 3 + 6c = 2 + -1 + -2c Combine like terms: 2 + -1 = 1 3 + 6c = 1 + -2c Solving 3 + 6c = 1 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 3 + 6c + 2c = 1 + -2c + 2c Combine like terms: 6c + 2c = 8c 3 + 8c = 1 + -2c + 2c Combine like terms: -2c + 2c = 0 3 + 8c = 1 + 0 3 + 8c = 1 Add '-3' to each side of the equation. 3 + -3 + 8c = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 8c = 1 + -3 8c = 1 + -3 Combine like terms: 1 + -3 = -2 8c = -2 Divide each side by '8'. c = -0.25 Simplifying c = -0.25
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