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Simplifying 9(d + -4) + -8 + 2d = 5d + -4 + 2d Reorder the terms: 9(-4 + d) + -8 + 2d = 5d + -4 + 2d (-4 * 9 + d * 9) + -8 + 2d = 5d + -4 + 2d (-36 + 9d) + -8 + 2d = 5d + -4 + 2d Reorder the terms: -36 + -8 + 9d + 2d = 5d + -4 + 2d Combine like terms: -36 + -8 = -44 -44 + 9d + 2d = 5d + -4 + 2d Combine like terms: 9d + 2d = 11d -44 + 11d = 5d + -4 + 2d Reorder the terms: -44 + 11d = -4 + 5d + 2d Combine like terms: 5d + 2d = 7d -44 + 11d = -4 + 7d Solving -44 + 11d = -4 + 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. -44 + 11d + -7d = -4 + 7d + -7d Combine like terms: 11d + -7d = 4d -44 + 4d = -4 + 7d + -7d Combine like terms: 7d + -7d = 0 -44 + 4d = -4 + 0 -44 + 4d = -4 Add '44' to each side of the equation. -44 + 44 + 4d = -4 + 44 Combine like terms: -44 + 44 = 0 0 + 4d = -4 + 44 4d = -4 + 44 Combine like terms: -4 + 44 = 40 4d = 40 Divide each side by '4'. d = 10 Simplifying d = 10
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