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Simplifying -3(d + 9) = -2(4d + 1) Reorder the terms: -3(9 + d) = -2(4d + 1) (9 * -3 + d * -3) = -2(4d + 1) (-27 + -3d) = -2(4d + 1) Reorder the terms: -27 + -3d = -2(1 + 4d) -27 + -3d = (1 * -2 + 4d * -2) -27 + -3d = (-2 + -8d) Solving -27 + -3d = -2 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. -27 + -3d + 8d = -2 + -8d + 8d Combine like terms: -3d + 8d = 5d -27 + 5d = -2 + -8d + 8d Combine like terms: -8d + 8d = 0 -27 + 5d = -2 + 0 -27 + 5d = -2 Add '27' to each side of the equation. -27 + 27 + 5d = -2 + 27 Combine like terms: -27 + 27 = 0 0 + 5d = -2 + 27 5d = -2 + 27 Combine like terms: -2 + 27 = 25 5d = 25 Divide each side by '5'. d = 5 Simplifying d = 5
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