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Simplifying 2(2c + -1) * 5 = 2c + 9 Reorder the terms: 2(-1 + 2c) * 5 = 2c + 9 Reorder the terms for easier multiplication: 2 * 5(-1 + 2c) = 2c + 9 Multiply 2 * 5 10(-1 + 2c) = 2c + 9 (-1 * 10 + 2c * 10) = 2c + 9 (-10 + 20c) = 2c + 9 Reorder the terms: -10 + 20c = 9 + 2c Solving -10 + 20c = 9 + 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. -10 + 20c + -2c = 9 + 2c + -2c Combine like terms: 20c + -2c = 18c -10 + 18c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 -10 + 18c = 9 + 0 -10 + 18c = 9 Add '10' to each side of the equation. -10 + 10 + 18c = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 18c = 9 + 10 18c = 9 + 10 Combine like terms: 9 + 10 = 19 18c = 19 Divide each side by '18'. c = 1.055555556 Simplifying c = 1.055555556
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