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Simplifying 5(2c + 1) = 6 + 4c Reorder the terms: 5(1 + 2c) = 6 + 4c (1 * 5 + 2c * 5) = 6 + 4c (5 + 10c) = 6 + 4c Solving 5 + 10c = 6 + 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. 5 + 10c + -4c = 6 + 4c + -4c Combine like terms: 10c + -4c = 6c 5 + 6c = 6 + 4c + -4c Combine like terms: 4c + -4c = 0 5 + 6c = 6 + 0 5 + 6c = 6 Add '-5' to each side of the equation. 5 + -5 + 6c = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 6c = 6 + -5 6c = 6 + -5 Combine like terms: 6 + -5 = 1 6c = 1 Divide each side by '6'. c = 0.1666666667 Simplifying c = 0.1666666667
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