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Simplifying -2d + -3(d + -3) = -27 + 4d Reorder the terms: -2d + -3(-3 + d) = -27 + 4d -2d + (-3 * -3 + d * -3) = -27 + 4d -2d + (9 + -3d) = -27 + 4d Reorder the terms: 9 + -2d + -3d = -27 + 4d Combine like terms: -2d + -3d = -5d 9 + -5d = -27 + 4d Solving 9 + -5d = -27 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 9 + -5d + -4d = -27 + 4d + -4d Combine like terms: -5d + -4d = -9d 9 + -9d = -27 + 4d + -4d Combine like terms: 4d + -4d = 0 9 + -9d = -27 + 0 9 + -9d = -27 Add '-9' to each side of the equation. 9 + -9 + -9d = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -9d = -27 + -9 -9d = -27 + -9 Combine like terms: -27 + -9 = -36 -9d = -36 Divide each side by '-9'. d = 4 Simplifying d = 4
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