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Simplifying 2d + 3(d + -1) + -9(d + 2) = 5 Reorder the terms: 2d + 3(-1 + d) + -9(d + 2) = 5 2d + (-1 * 3 + d * 3) + -9(d + 2) = 5 2d + (-3 + 3d) + -9(d + 2) = 5 Reorder the terms: 2d + -3 + 3d + -9(2 + d) = 5 2d + -3 + 3d + (2 * -9 + d * -9) = 5 2d + -3 + 3d + (-18 + -9d) = 5 Reorder the terms: -3 + -18 + 2d + 3d + -9d = 5 Combine like terms: -3 + -18 = -21 -21 + 2d + 3d + -9d = 5 Combine like terms: 2d + 3d = 5d -21 + 5d + -9d = 5 Combine like terms: 5d + -9d = -4d -21 + -4d = 5 Solving -21 + -4d = 5 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4d = 5 + 21 Combine like terms: -21 + 21 = 0 0 + -4d = 5 + 21 -4d = 5 + 21 Combine like terms: 5 + 21 = 26 -4d = 26 Divide each side by '-4'. d = -6.5 Simplifying d = -6.5
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