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Simplifying 3(3c + -5) = 4(c + 5) Reorder the terms: 3(-5 + 3c) = 4(c + 5) (-5 * 3 + 3c * 3) = 4(c + 5) (-15 + 9c) = 4(c + 5) Reorder the terms: -15 + 9c = 4(5 + c) -15 + 9c = (5 * 4 + c * 4) -15 + 9c = (20 + 4c) Solving -15 + 9c = 20 + 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 + 9c + -4c = 20 + 4c + -4c Combine like terms: 9c + -4c = 5c -15 + 5c = 20 + 4c + -4c Combine like terms: 4c + -4c = 0 -15 + 5c = 20 + 0 -15 + 5c = 20 Add '15' to each side of the equation. -15 + 15 + 5c = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 5c = 20 + 15 5c = 20 + 15 Combine like terms: 20 + 15 = 35 5c = 35 Divide each side by '5'. c = 7 Simplifying c = 7
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