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Simplifying 5d + 4 + -2d = -1(d + 9) Reorder the terms: 4 + 5d + -2d = -1(d + 9) Combine like terms: 5d + -2d = 3d 4 + 3d = -1(d + 9) Reorder the terms: 4 + 3d = -1(9 + d) 4 + 3d = (9 * -1 + d * -1) 4 + 3d = (-9 + -1d) Solving 4 + 3d = -9 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 4 + 3d + d = -9 + -1d + d Combine like terms: 3d + d = 4d 4 + 4d = -9 + -1d + d Combine like terms: -1d + d = 0 4 + 4d = -9 + 0 4 + 4d = -9 Add '-4' to each side of the equation. 4 + -4 + 4d = -9 + -4 Combine like terms: 4 + -4 = 0 0 + 4d = -9 + -4 4d = -9 + -4 Combine like terms: -9 + -4 = -13 4d = -13 Divide each side by '4'. d = -3.25 Simplifying d = -3.25
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