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