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Simplifying -5(7c + 9) = 31 + -4c Reorder the terms: -5(9 + 7c) = 31 + -4c (9 * -5 + 7c * -5) = 31 + -4c (-45 + -35c) = 31 + -4c Solving -45 + -35c = 31 + -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. -45 + -35c + 4c = 31 + -4c + 4c Combine like terms: -35c + 4c = -31c -45 + -31c = 31 + -4c + 4c Combine like terms: -4c + 4c = 0 -45 + -31c = 31 + 0 -45 + -31c = 31 Add '45' to each side of the equation. -45 + 45 + -31c = 31 + 45 Combine like terms: -45 + 45 = 0 0 + -31c = 31 + 45 -31c = 31 + 45 Combine like terms: 31 + 45 = 76 -31c = 76 Divide each side by '-31'. c = -2.451612903 Simplifying c = -2.451612903
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