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Simplifying 5(2c + -1) + -6 = 5c + 9 Reorder the terms: 5(-1 + 2c) + -6 = 5c + 9 (-1 * 5 + 2c * 5) + -6 = 5c + 9 (-5 + 10c) + -6 = 5c + 9 Reorder the terms: -5 + -6 + 10c = 5c + 9 Combine like terms: -5 + -6 = -11 -11 + 10c = 5c + 9 Reorder the terms: -11 + 10c = 9 + 5c Solving -11 + 10c = 9 + 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. -11 + 10c + -5c = 9 + 5c + -5c Combine like terms: 10c + -5c = 5c -11 + 5c = 9 + 5c + -5c Combine like terms: 5c + -5c = 0 -11 + 5c = 9 + 0 -11 + 5c = 9 Add '11' to each side of the equation. -11 + 11 + 5c = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 5c = 9 + 11 5c = 9 + 11 Combine like terms: 9 + 11 = 20 5c = 20 Divide each side by '5'. c = 4 Simplifying c = 4
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