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Simplifying 31 = 7 + 9 + c Combine like terms: 7 + 9 = 16 31 = 16 + c Solving 31 = 16 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 31 + -1c = 16 + c + -1c Combine like terms: c + -1c = 0 31 + -1c = 16 + 0 31 + -1c = 16 Add '-31' to each side of the equation. 31 + -31 + -1c = 16 + -31 Combine like terms: 31 + -31 = 0 0 + -1c = 16 + -31 -1c = 16 + -31 Combine like terms: 16 + -31 = -15 -1c = -15 Divide each side by '-1'. c = 15 Simplifying c = 15
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