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Simplifying 9(2c + -5) = 2c + 3 Reorder the terms: 9(-5 + 2c) = 2c + 3 (-5 * 9 + 2c * 9) = 2c + 3 (-45 + 18c) = 2c + 3 Reorder the terms: -45 + 18c = 3 + 2c Solving -45 + 18c = 3 + 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. -45 + 18c + -2c = 3 + 2c + -2c Combine like terms: 18c + -2c = 16c -45 + 16c = 3 + 2c + -2c Combine like terms: 2c + -2c = 0 -45 + 16c = 3 + 0 -45 + 16c = 3 Add '45' to each side of the equation. -45 + 45 + 16c = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 16c = 3 + 45 16c = 3 + 45 Combine like terms: 3 + 45 = 48 16c = 48 Divide each side by '16'. c = 3 Simplifying c = 3
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