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Simplifying 5c + 30 = 4c + 40 Reorder the terms: 30 + 5c = 4c + 40 Reorder the terms: 30 + 5c = 40 + 4c Solving 30 + 5c = 40 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 30 + 5c + -4c = 40 + 4c + -4c Combine like terms: 5c + -4c = 1c 30 + 1c = 40 + 4c + -4c Combine like terms: 4c + -4c = 0 30 + 1c = 40 + 0 30 + 1c = 40 Add '-30' to each side of the equation. 30 + -30 + 1c = 40 + -30 Combine like terms: 30 + -30 = 0 0 + 1c = 40 + -30 1c = 40 + -30 Combine like terms: 40 + -30 = 10 1c = 10 Divide each side by '1'. c = 10 Simplifying c = 10
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