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