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Simplifying 3c + 47 = 9c + 41 Reorder the terms: 47 + 3c = 9c + 41 Reorder the terms: 47 + 3c = 41 + 9c Solving 47 + 3c = 41 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 47 + 3c + -9c = 41 + 9c + -9c Combine like terms: 3c + -9c = -6c 47 + -6c = 41 + 9c + -9c Combine like terms: 9c + -9c = 0 47 + -6c = 41 + 0 47 + -6c = 41 Add '-47' to each side of the equation. 47 + -47 + -6c = 41 + -47 Combine like terms: 47 + -47 = 0 0 + -6c = 41 + -47 -6c = 41 + -47 Combine like terms: 41 + -47 = -6 -6c = -6 Divide each side by '-6'. c = 1 Simplifying c = 1
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