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Simplifying 6c + 5 = 45 + 2c Reorder the terms: 5 + 6c = 45 + 2c Solving 5 + 6c = 45 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 5 + 6c + -2c = 45 + 2c + -2c Combine like terms: 6c + -2c = 4c 5 + 4c = 45 + 2c + -2c Combine like terms: 2c + -2c = 0 5 + 4c = 45 + 0 5 + 4c = 45 Add '-5' to each side of the equation. 5 + -5 + 4c = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 4c = 45 + -5 4c = 45 + -5 Combine like terms: 45 + -5 = 40 4c = 40 Divide each side by '4'. c = 10 Simplifying c = 10
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