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Simplifying -6(d + 7) + -3(d + -3) = 0 Reorder the terms: -6(7 + d) + -3(d + -3) = 0 (7 * -6 + d * -6) + -3(d + -3) = 0 (-42 + -6d) + -3(d + -3) = 0 Reorder the terms: -42 + -6d + -3(-3 + d) = 0 -42 + -6d + (-3 * -3 + d * -3) = 0 -42 + -6d + (9 + -3d) = 0 Reorder the terms: -42 + 9 + -6d + -3d = 0 Combine like terms: -42 + 9 = -33 -33 + -6d + -3d = 0 Combine like terms: -6d + -3d = -9d -33 + -9d = 0 Solving -33 + -9d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -9d = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -9d = 0 + 33 -9d = 0 + 33 Combine like terms: 0 + 33 = 33 -9d = 33 Divide each side by '-9'. d = -3.666666667 Simplifying d = -3.666666667
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