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Simplifying -1(2c + -4) = 3(c + -2) Reorder the terms: -1(-4 + 2c) = 3(c + -2) (-4 * -1 + 2c * -1) = 3(c + -2) (4 + -2c) = 3(c + -2) Reorder the terms: 4 + -2c = 3(-2 + c) 4 + -2c = (-2 * 3 + c * 3) 4 + -2c = (-6 + 3c) Solving 4 + -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. 4 + -2c + -3c = -6 + 3c + -3c Combine like terms: -2c + -3c = -5c 4 + -5c = -6 + 3c + -3c Combine like terms: 3c + -3c = 0 4 + -5c = -6 + 0 4 + -5c = -6 Add '-4' to each side of the equation. 4 + -4 + -5c = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5c = -6 + -4 -5c = -6 + -4 Combine like terms: -6 + -4 = -10 -5c = -10 Divide each side by '-5'. c = 2 Simplifying c = 2
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