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Simplifying 3(1 + -2c) + -4 = -2(4c + -1) (1 * 3 + -2c * 3) + -4 = -2(4c + -1) (3 + -6c) + -4 = -2(4c + -1) Reorder the terms: 3 + -4 + -6c = -2(4c + -1) Combine like terms: 3 + -4 = -1 -1 + -6c = -2(4c + -1) Reorder the terms: -1 + -6c = -2(-1 + 4c) -1 + -6c = (-1 * -2 + 4c * -2) -1 + -6c = (2 + -8c) Solving -1 + -6c = 2 + -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. -1 + -6c + 8c = 2 + -8c + 8c Combine like terms: -6c + 8c = 2c -1 + 2c = 2 + -8c + 8c Combine like terms: -8c + 8c = 0 -1 + 2c = 2 + 0 -1 + 2c = 2 Add '1' to each side of the equation. -1 + 1 + 2c = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 2c = 2 + 1 2c = 2 + 1 Combine like terms: 2 + 1 = 3 2c = 3 Divide each side by '2'. c = 1.5 Simplifying c = 1.5
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