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Simplifying 46 = -1(4 + c) + -1(6 + 3c) 46 = (4 * -1 + c * -1) + -1(6 + 3c) 46 = (-4 + -1c) + -1(6 + 3c) 46 = -4 + -1c + (6 * -1 + 3c * -1) 46 = -4 + -1c + (-6 + -3c) Reorder the terms: 46 = -4 + -6 + -1c + -3c Combine like terms: -4 + -6 = -10 46 = -10 + -1c + -3c Combine like terms: -1c + -3c = -4c 46 = -10 + -4c Solving 46 = -10 + -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. 46 + 4c = -10 + -4c + 4c Combine like terms: -4c + 4c = 0 46 + 4c = -10 + 0 46 + 4c = -10 Add '-46' to each side of the equation. 46 + -46 + 4c = -10 + -46 Combine like terms: 46 + -46 = 0 0 + 4c = -10 + -46 4c = -10 + -46 Combine like terms: -10 + -46 = -56 4c = -56 Divide each side by '4'. c = -14 Simplifying c = -14
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