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Simplifying 10 + -5c + 21 = 3c + 7 Reorder the terms: 10 + 21 + -5c = 3c + 7 Combine like terms: 10 + 21 = 31 31 + -5c = 3c + 7 Reorder the terms: 31 + -5c = 7 + 3c Solving 31 + -5c = 7 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 31 + -5c + -3c = 7 + 3c + -3c Combine like terms: -5c + -3c = -8c 31 + -8c = 7 + 3c + -3c Combine like terms: 3c + -3c = 0 31 + -8c = 7 + 0 31 + -8c = 7 Add '-31' to each side of the equation. 31 + -31 + -8c = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -8c = 7 + -31 -8c = 7 + -31 Combine like terms: 7 + -31 = -24 -8c = -24 Divide each side by '-8'. c = 3 Simplifying c = 3
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