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Simplifying 5(3d + -4) = 9d + 4 Reorder the terms: 5(-4 + 3d) = 9d + 4 (-4 * 5 + 3d * 5) = 9d + 4 (-20 + 15d) = 9d + 4 Reorder the terms: -20 + 15d = 4 + 9d Solving -20 + 15d = 4 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. -20 + 15d + -9d = 4 + 9d + -9d Combine like terms: 15d + -9d = 6d -20 + 6d = 4 + 9d + -9d Combine like terms: 9d + -9d = 0 -20 + 6d = 4 + 0 -20 + 6d = 4 Add '20' to each side of the equation. -20 + 20 + 6d = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 6d = 4 + 20 6d = 4 + 20 Combine like terms: 4 + 20 = 24 6d = 24 Divide each side by '6'. d = 4 Simplifying d = 4
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