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Simplifying 2(-3c + 1) = -4(c + -1) Reorder the terms: 2(1 + -3c) = -4(c + -1) (1 * 2 + -3c * 2) = -4(c + -1) (2 + -6c) = -4(c + -1) Reorder the terms: 2 + -6c = -4(-1 + c) 2 + -6c = (-1 * -4 + c * -4) 2 + -6c = (4 + -4c) Solving 2 + -6c = 4 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 2 + -6c + 4c = 4 + -4c + 4c Combine like terms: -6c + 4c = -2c 2 + -2c = 4 + -4c + 4c Combine like terms: -4c + 4c = 0 2 + -2c = 4 + 0 2 + -2c = 4 Add '-2' to each side of the equation. 2 + -2 + -2c = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2c = 4 + -2 -2c = 4 + -2 Combine like terms: 4 + -2 = 2 -2c = 2 Divide each side by '-2'. c = -1 Simplifying c = -1
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