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Simplifying 3d + 5(d + -4) = 52 Reorder the terms: 3d + 5(-4 + d) = 52 3d + (-4 * 5 + d * 5) = 52 3d + (-20 + 5d) = 52 Reorder the terms: -20 + 3d + 5d = 52 Combine like terms: 3d + 5d = 8d -20 + 8d = 52 Solving -20 + 8d = 52 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 8d = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 8d = 52 + 20 8d = 52 + 20 Combine like terms: 52 + 20 = 72 8d = 72 Divide each side by '8'. d = 9 Simplifying d = 9
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