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