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Simplifying -2(4d + 1) + -3(d + 9) = 0 Reorder the terms: -2(1 + 4d) + -3(d + 9) = 0 (1 * -2 + 4d * -2) + -3(d + 9) = 0 (-2 + -8d) + -3(d + 9) = 0 Reorder the terms: -2 + -8d + -3(9 + d) = 0 -2 + -8d + (9 * -3 + d * -3) = 0 -2 + -8d + (-27 + -3d) = 0 Reorder the terms: -2 + -27 + -8d + -3d = 0 Combine like terms: -2 + -27 = -29 -29 + -8d + -3d = 0 Combine like terms: -8d + -3d = -11d -29 + -11d = 0 Solving -29 + -11d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -11d = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -11d = 0 + 29 -11d = 0 + 29 Combine like terms: 0 + 29 = 29 -11d = 29 Divide each side by '-11'. d = -2.636363636 Simplifying d = -2.636363636
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