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Simplifying 7c + 19 + 3c = 5c + -31 Reorder the terms: 19 + 7c + 3c = 5c + -31 Combine like terms: 7c + 3c = 10c 19 + 10c = 5c + -31 Reorder the terms: 19 + 10c = -31 + 5c Solving 19 + 10c = -31 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 19 + 10c + -5c = -31 + 5c + -5c Combine like terms: 10c + -5c = 5c 19 + 5c = -31 + 5c + -5c Combine like terms: 5c + -5c = 0 19 + 5c = -31 + 0 19 + 5c = -31 Add '-19' to each side of the equation. 19 + -19 + 5c = -31 + -19 Combine like terms: 19 + -19 = 0 0 + 5c = -31 + -19 5c = -31 + -19 Combine like terms: -31 + -19 = -50 5c = -50 Divide each side by '5'. c = -10 Simplifying c = -10
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