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Simplifying 4c + 2 = 7 + -1c Reorder the terms: 2 + 4c = 7 + -1c Solving 2 + 4c = 7 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 2 + 4c + c = 7 + -1c + c Combine like terms: 4c + c = 5c 2 + 5c = 7 + -1c + c Combine like terms: -1c + c = 0 2 + 5c = 7 + 0 2 + 5c = 7 Add '-2' to each side of the equation. 2 + -2 + 5c = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5c = 7 + -2 5c = 7 + -2 Combine like terms: 7 + -2 = 5 5c = 5 Divide each side by '5'. c = 1 Simplifying c = 1
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