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Simplifying 40 = -3c + 8c + 10 Reorder the terms: 40 = 10 + -3c + 8c Combine like terms: -3c + 8c = 5c 40 = 10 + 5c Solving 40 = 10 + 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. 40 + -5c = 10 + 5c + -5c Combine like terms: 5c + -5c = 0 40 + -5c = 10 + 0 40 + -5c = 10 Add '-40' to each side of the equation. 40 + -40 + -5c = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -5c = 10 + -40 -5c = 10 + -40 Combine like terms: 10 + -40 = -30 -5c = -30 Divide each side by '-5'. c = 6 Simplifying c = 6
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