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Simplifying 4c + 1 = 9c + -9 Reorder the terms: 1 + 4c = 9c + -9 Reorder the terms: 1 + 4c = -9 + 9c Solving 1 + 4c = -9 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 1 + 4c + -9c = -9 + 9c + -9c Combine like terms: 4c + -9c = -5c 1 + -5c = -9 + 9c + -9c Combine like terms: 9c + -9c = 0 1 + -5c = -9 + 0 1 + -5c = -9 Add '-1' to each side of the equation. 1 + -1 + -5c = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -5c = -9 + -1 -5c = -9 + -1 Combine like terms: -9 + -1 = -10 -5c = -10 Divide each side by '-5'. c = 2 Simplifying c = 2
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