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Simplifying -9(d + 2) = 4(5 + d) Reorder the terms: -9(2 + d) = 4(5 + d) (2 * -9 + d * -9) = 4(5 + d) (-18 + -9d) = 4(5 + d) -18 + -9d = (5 * 4 + d * 4) -18 + -9d = (20 + 4d) Solving -18 + -9d = 20 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -18 + -9d + -4d = 20 + 4d + -4d Combine like terms: -9d + -4d = -13d -18 + -13d = 20 + 4d + -4d Combine like terms: 4d + -4d = 0 -18 + -13d = 20 + 0 -18 + -13d = 20 Add '18' to each side of the equation. -18 + 18 + -13d = 20 + 18 Combine like terms: -18 + 18 = 0 0 + -13d = 20 + 18 -13d = 20 + 18 Combine like terms: 20 + 18 = 38 -13d = 38 Divide each side by '-13'. d = -2.923076923 Simplifying d = -2.923076923
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