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Simplifying 5(2c + -3) = 4c + 9 Reorder the terms: 5(-3 + 2c) = 4c + 9 (-3 * 5 + 2c * 5) = 4c + 9 (-15 + 10c) = 4c + 9 Reorder the terms: -15 + 10c = 9 + 4c Solving -15 + 10c = 9 + 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 + 10c + -4c = 9 + 4c + -4c Combine like terms: 10c + -4c = 6c -15 + 6c = 9 + 4c + -4c Combine like terms: 4c + -4c = 0 -15 + 6c = 9 + 0 -15 + 6c = 9 Add '15' to each side of the equation. -15 + 15 + 6c = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6c = 9 + 15 6c = 9 + 15 Combine like terms: 9 + 15 = 24 6c = 24 Divide each side by '6'. c = 4 Simplifying c = 4
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