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Simplifying 5c + 9 = 4c + 7 Reorder the terms: 9 + 5c = 4c + 7 Reorder the terms: 9 + 5c = 7 + 4c Solving 9 + 5c = 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. 9 + 5c + -4c = 7 + 4c + -4c Combine like terms: 5c + -4c = 1c 9 + 1c = 7 + 4c + -4c Combine like terms: 4c + -4c = 0 9 + 1c = 7 + 0 9 + 1c = 7 Add '-9' to each side of the equation. 9 + -9 + 1c = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 1c = 7 + -9 1c = 7 + -9 Combine like terms: 7 + -9 = -2 1c = -2 Divide each side by '1'. c = -2 Simplifying c = -2
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