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Simplifying 5(2c + -1) = 5(c + 1) Reorder the terms: 5(-1 + 2c) = 5(c + 1) (-1 * 5 + 2c * 5) = 5(c + 1) (-5 + 10c) = 5(c + 1) Reorder the terms: -5 + 10c = 5(1 + c) -5 + 10c = (1 * 5 + c * 5) -5 + 10c = (5 + 5c) Solving -5 + 10c = 5 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -5 + 10c + -5c = 5 + 5c + -5c Combine like terms: 10c + -5c = 5c -5 + 5c = 5 + 5c + -5c Combine like terms: 5c + -5c = 0 -5 + 5c = 5 + 0 -5 + 5c = 5 Add '5' to each side of the equation. -5 + 5 + 5c = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5c = 5 + 5 5c = 5 + 5 Combine like terms: 5 + 5 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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