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Simplifying 3c + -4c + 1 = 5c + 2 + -3 Reorder the terms: 1 + 3c + -4c = 5c + 2 + -3 Combine like terms: 3c + -4c = -1c 1 + -1c = 5c + 2 + -3 Reorder the terms: 1 + -1c = 2 + -3 + 5c Combine like terms: 2 + -3 = -1 1 + -1c = -1 + 5c Solving 1 + -1c = -1 + 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. 1 + -1c + -5c = -1 + 5c + -5c Combine like terms: -1c + -5c = -6c 1 + -6c = -1 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -6c = -1 + 0 1 + -6c = -1 Add '-1' to each side of the equation. 1 + -1 + -6c = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -6c = -1 + -1 -6c = -1 + -1 Combine like terms: -1 + -1 = -2 -6c = -2 Divide each side by '-6'. c = 0.3333333333 Simplifying c = 0.3333333333
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