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Simplifying 3c + 2 = 4c + 6 + 1 Reorder the terms: 2 + 3c = 4c + 6 + 1 Reorder the terms: 2 + 3c = 6 + 1 + 4c Combine like terms: 6 + 1 = 7 2 + 3c = 7 + 4c Solving 2 + 3c = 7 + 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. 2 + 3c + -4c = 7 + 4c + -4c Combine like terms: 3c + -4c = -1c 2 + -1c = 7 + 4c + -4c Combine like terms: 4c + -4c = 0 2 + -1c = 7 + 0 2 + -1c = 7 Add '-2' to each side of the equation. 2 + -2 + -1c = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 7 + -2 -1c = 7 + -2 Combine like terms: 7 + -2 = 5 -1c = 5 Divide each side by '-1'. c = -5 Simplifying c = -5
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