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Simplifying 5(d + -4) = 9(d + -9) Reorder the terms: 5(-4 + d) = 9(d + -9) (-4 * 5 + d * 5) = 9(d + -9) (-20 + 5d) = 9(d + -9) Reorder the terms: -20 + 5d = 9(-9 + d) -20 + 5d = (-9 * 9 + d * 9) -20 + 5d = (-81 + 9d) Solving -20 + 5d = -81 + 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 + 5d + -9d = -81 + 9d + -9d Combine like terms: 5d + -9d = -4d -20 + -4d = -81 + 9d + -9d Combine like terms: 9d + -9d = 0 -20 + -4d = -81 + 0 -20 + -4d = -81 Add '20' to each side of the equation. -20 + 20 + -4d = -81 + 20 Combine like terms: -20 + 20 = 0 0 + -4d = -81 + 20 -4d = -81 + 20 Combine like terms: -81 + 20 = -61 -4d = -61 Divide each side by '-4'. d = 15.25 Simplifying d = 15.25
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