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Simplifying 2(4 + -1c) = 5 + -3c + 1 (4 * 2 + -1c * 2) = 5 + -3c + 1 (8 + -2c) = 5 + -3c + 1 Reorder the terms: 8 + -2c = 5 + 1 + -3c Combine like terms: 5 + 1 = 6 8 + -2c = 6 + -3c Solving 8 + -2c = 6 + -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. 8 + -2c + 3c = 6 + -3c + 3c Combine like terms: -2c + 3c = 1c 8 + 1c = 6 + -3c + 3c Combine like terms: -3c + 3c = 0 8 + 1c = 6 + 0 8 + 1c = 6 Add '-8' to each side of the equation. 8 + -8 + 1c = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 1c = 6 + -8 1c = 6 + -8 Combine like terms: 6 + -8 = -2 1c = -2 Divide each side by '1'. c = -2 Simplifying c = -2
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