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Simplifying 5c + 3 + -1c = 7 + 9c + -2 Reorder the terms: 3 + 5c + -1c = 7 + 9c + -2 Combine like terms: 5c + -1c = 4c 3 + 4c = 7 + 9c + -2 Reorder the terms: 3 + 4c = 7 + -2 + 9c Combine like terms: 7 + -2 = 5 3 + 4c = 5 + 9c Solving 3 + 4c = 5 + 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. 3 + 4c + -9c = 5 + 9c + -9c Combine like terms: 4c + -9c = -5c 3 + -5c = 5 + 9c + -9c Combine like terms: 9c + -9c = 0 3 + -5c = 5 + 0 3 + -5c = 5 Add '-3' to each side of the equation. 3 + -3 + -5c = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 5 + -3 -5c = 5 + -3 Combine like terms: 5 + -3 = 2 -5c = 2 Divide each side by '-5'. c = -0.4 Simplifying c = -0.4
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