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Simplifying 3c + -4c + 1 = 5c + 2 + 2 Reorder the terms: 1 + 3c + -4c = 5c + 2 + 2 Combine like terms: 3c + -4c = -1c 1 + -1c = 5c + 2 + 2 Reorder the terms: 1 + -1c = 2 + 2 + 5c Combine like terms: 2 + 2 = 4 1 + -1c = 4 + 5c Solving 1 + -1c = 4 + 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 = 4 + 5c + -5c Combine like terms: -1c + -5c = -6c 1 + -6c = 4 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -6c = 4 + 0 1 + -6c = 4 Add '-1' to each side of the equation. 1 + -1 + -6c = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -6c = 4 + -1 -6c = 4 + -1 Combine like terms: 4 + -1 = 3 -6c = 3 Divide each side by '-6'. c = -0.5 Simplifying c = -0.5
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