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Simplifying 3c + -4c + 1 = 5 + 2 + 3c Reorder the terms: 1 + 3c + -4c = 5 + 2 + 3c Combine like terms: 3c + -4c = -1c 1 + -1c = 5 + 2 + 3c Combine like terms: 5 + 2 = 7 1 + -1c = 7 + 3c Solving 1 + -1c = 7 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 1 + -1c + -3c = 7 + 3c + -3c Combine like terms: -1c + -3c = -4c 1 + -4c = 7 + 3c + -3c Combine like terms: 3c + -3c = 0 1 + -4c = 7 + 0 1 + -4c = 7 Add '-1' to each side of the equation. 1 + -1 + -4c = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -4c = 7 + -1 -4c = 7 + -1 Combine like terms: 7 + -1 = 6 -4c = 6 Divide each side by '-4'. c = -1.5 Simplifying c = -1.5
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