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Simplifying -9(d + -4) = 5d + 8 Reorder the terms: -9(-4 + d) = 5d + 8 (-4 * -9 + d * -9) = 5d + 8 (36 + -9d) = 5d + 8 Reorder the terms: 36 + -9d = 8 + 5d Solving 36 + -9d = 8 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 36 + -9d + -5d = 8 + 5d + -5d Combine like terms: -9d + -5d = -14d 36 + -14d = 8 + 5d + -5d Combine like terms: 5d + -5d = 0 36 + -14d = 8 + 0 36 + -14d = 8 Add '-36' to each side of the equation. 36 + -36 + -14d = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -14d = 8 + -36 -14d = 8 + -36 Combine like terms: 8 + -36 = -28 -14d = -28 Divide each side by '-14'. d = 2 Simplifying d = 2
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