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Simplifying 8(14 + -1(8(c + 3) + -5(c + 3))) = -16c Reorder the terms: 8(14 + -1(8(3 + c) + -5(c + 3))) = -16c 8(14 + -1((3 * 8 + c * 8) + -5(c + 3))) = -16c 8(14 + -1((24 + 8c) + -5(c + 3))) = -16c Reorder the terms: 8(14 + -1(24 + 8c + -5(3 + c))) = -16c 8(14 + -1(24 + 8c + (3 * -5 + c * -5))) = -16c 8(14 + -1(24 + 8c + (-15 + -5c))) = -16c Reorder the terms: 8(14 + -1(24 + -15 + 8c + -5c)) = -16c Combine like terms: 24 + -15 = 9 8(14 + -1(9 + 8c + -5c)) = -16c Combine like terms: 8c + -5c = 3c 8(14 + -1(9 + 3c)) = -16c 8(14 + (9 * -1 + 3c * -1)) = -16c 8(14 + (-9 + -3c)) = -16c Combine like terms: 14 + -9 = 5 8(5 + -3c) = -16c (5 * 8 + -3c * 8) = -16c (40 + -24c) = -16c Solving 40 + -24c = -16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16c' to each side of the equation. 40 + -24c + 16c = -16c + 16c Combine like terms: -24c + 16c = -8c 40 + -8c = -16c + 16c Combine like terms: -16c + 16c = 0 40 + -8c = 0 Add '-40' to each side of the equation. 40 + -40 + -8c = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8c = 0 + -40 -8c = 0 + -40 Combine like terms: 0 + -40 = -40 -8c = -40 Divide each side by '-8'. c = 5 Simplifying c = 5
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