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Simplifying 3c + -2(c + 1) = -1(6 + -4c) + c Reorder the terms: 3c + -2(1 + c) = -1(6 + -4c) + c 3c + (1 * -2 + c * -2) = -1(6 + -4c) + c 3c + (-2 + -2c) = -1(6 + -4c) + c Reorder the terms: -2 + 3c + -2c = -1(6 + -4c) + c Combine like terms: 3c + -2c = 1c -2 + 1c = -1(6 + -4c) + c -2 + 1c = (6 * -1 + -4c * -1) + c -2 + 1c = (-6 + 4c) + c Combine like terms: 4c + c = 5c -2 + 1c = -6 + 5c Solving -2 + 1c = -6 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -2 + 1c + -5c = -6 + 5c + -5c Combine like terms: 1c + -5c = -4c -2 + -4c = -6 + 5c + -5c Combine like terms: 5c + -5c = 0 -2 + -4c = -6 + 0 -2 + -4c = -6 Add '2' to each side of the equation. -2 + 2 + -4c = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -4c = -6 + 2 -4c = -6 + 2 Combine like terms: -6 + 2 = -4 -4c = -4 Divide each side by '-4'. c = 1 Simplifying c = 1
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