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Simplifying c + 49 + 4c = 10c + -41 Reorder the terms: 49 + c + 4c = 10c + -41 Combine like terms: c + 4c = 5c 49 + 5c = 10c + -41 Reorder the terms: 49 + 5c = -41 + 10c Solving 49 + 5c = -41 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 49 + 5c + -10c = -41 + 10c + -10c Combine like terms: 5c + -10c = -5c 49 + -5c = -41 + 10c + -10c Combine like terms: 10c + -10c = 0 49 + -5c = -41 + 0 49 + -5c = -41 Add '-49' to each side of the equation. 49 + -49 + -5c = -41 + -49 Combine like terms: 49 + -49 = 0 0 + -5c = -41 + -49 -5c = -41 + -49 Combine like terms: -41 + -49 = -90 -5c = -90 Divide each side by '-5'. c = 18 Simplifying c = 18
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