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Simplifying 3(2c + -5) = 4c + 5 Reorder the terms: 3(-5 + 2c) = 4c + 5 (-5 * 3 + 2c * 3) = 4c + 5 (-15 + 6c) = 4c + 5 Reorder the terms: -15 + 6c = 5 + 4c Solving -15 + 6c = 5 + 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. -15 + 6c + -4c = 5 + 4c + -4c Combine like terms: 6c + -4c = 2c -15 + 2c = 5 + 4c + -4c Combine like terms: 4c + -4c = 0 -15 + 2c = 5 + 0 -15 + 2c = 5 Add '15' to each side of the equation. -15 + 15 + 2c = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 5 + 15 2c = 5 + 15 Combine like terms: 5 + 15 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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