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Simplifying -9(d + 2) = -6(2d + -9) + -3d Reorder the terms: -9(2 + d) = -6(2d + -9) + -3d (2 * -9 + d * -9) = -6(2d + -9) + -3d (-18 + -9d) = -6(2d + -9) + -3d Reorder the terms: -18 + -9d = -6(-9 + 2d) + -3d -18 + -9d = (-9 * -6 + 2d * -6) + -3d -18 + -9d = (54 + -12d) + -3d Combine like terms: -12d + -3d = -15d -18 + -9d = 54 + -15d Solving -18 + -9d = 54 + -15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '15d' to each side of the equation. -18 + -9d + 15d = 54 + -15d + 15d Combine like terms: -9d + 15d = 6d -18 + 6d = 54 + -15d + 15d Combine like terms: -15d + 15d = 0 -18 + 6d = 54 + 0 -18 + 6d = 54 Add '18' to each side of the equation. -18 + 18 + 6d = 54 + 18 Combine like terms: -18 + 18 = 0 0 + 6d = 54 + 18 6d = 54 + 18 Combine like terms: 54 + 18 = 72 6d = 72 Divide each side by '6'. d = 12 Simplifying d = 12
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