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Simplifying 4c + 9 = 7c + 6 Reorder the terms: 9 + 4c = 7c + 6 Reorder the terms: 9 + 4c = 6 + 7c Solving 9 + 4c = 6 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 9 + 4c + -7c = 6 + 7c + -7c Combine like terms: 4c + -7c = -3c 9 + -3c = 6 + 7c + -7c Combine like terms: 7c + -7c = 0 9 + -3c = 6 + 0 9 + -3c = 6 Add '-9' to each side of the equation. 9 + -9 + -3c = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -3c = 6 + -9 -3c = 6 + -9 Combine like terms: 6 + -9 = -3 -3c = -3 Divide each side by '-3'. c = 1 Simplifying c = 1
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