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Simplifying 7c + 9 = 11c + -31 Reorder the terms: 9 + 7c = 11c + -31 Reorder the terms: 9 + 7c = -31 + 11c Solving 9 + 7c = -31 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. 9 + 7c + -11c = -31 + 11c + -11c Combine like terms: 7c + -11c = -4c 9 + -4c = -31 + 11c + -11c Combine like terms: 11c + -11c = 0 9 + -4c = -31 + 0 9 + -4c = -31 Add '-9' to each side of the equation. 9 + -9 + -4c = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -4c = -31 + -9 -4c = -31 + -9 Combine like terms: -31 + -9 = -40 -4c = -40 Divide each side by '-4'. c = 10 Simplifying c = 10
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