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Simplifying 9(d + -4) = 5d + 8 + 2d Reorder the terms: 9(-4 + d) = 5d + 8 + 2d (-4 * 9 + d * 9) = 5d + 8 + 2d (-36 + 9d) = 5d + 8 + 2d Reorder the terms: -36 + 9d = 8 + 5d + 2d Combine like terms: 5d + 2d = 7d -36 + 9d = 8 + 7d Solving -36 + 9d = 8 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. -36 + 9d + -7d = 8 + 7d + -7d Combine like terms: 9d + -7d = 2d -36 + 2d = 8 + 7d + -7d Combine like terms: 7d + -7d = 0 -36 + 2d = 8 + 0 -36 + 2d = 8 Add '36' to each side of the equation. -36 + 36 + 2d = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 2d = 8 + 36 2d = 8 + 36 Combine like terms: 8 + 36 = 44 2d = 44 Divide each side by '2'. d = 22 Simplifying d = 22
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