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Simplifying 3(1 + -3c) = 2(-4c + 7) (1 * 3 + -3c * 3) = 2(-4c + 7) (3 + -9c) = 2(-4c + 7) Reorder the terms: 3 + -9c = 2(7 + -4c) 3 + -9c = (7 * 2 + -4c * 2) 3 + -9c = (14 + -8c) Solving 3 + -9c = 14 + -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. 3 + -9c + 8c = 14 + -8c + 8c Combine like terms: -9c + 8c = -1c 3 + -1c = 14 + -8c + 8c Combine like terms: -8c + 8c = 0 3 + -1c = 14 + 0 3 + -1c = 14 Add '-3' to each side of the equation. 3 + -3 + -1c = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 14 + -3 -1c = 14 + -3 Combine like terms: 14 + -3 = 11 -1c = 11 Divide each side by '-1'. c = -11 Simplifying c = -11
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