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Simplifying -3(5d + 9) + 6(d + -7) = 0 Reorder the terms: -3(9 + 5d) + 6(d + -7) = 0 (9 * -3 + 5d * -3) + 6(d + -7) = 0 (-27 + -15d) + 6(d + -7) = 0 Reorder the terms: -27 + -15d + 6(-7 + d) = 0 -27 + -15d + (-7 * 6 + d * 6) = 0 -27 + -15d + (-42 + 6d) = 0 Reorder the terms: -27 + -42 + -15d + 6d = 0 Combine like terms: -27 + -42 = -69 -69 + -15d + 6d = 0 Combine like terms: -15d + 6d = -9d -69 + -9d = 0 Solving -69 + -9d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + -9d = 0 + 69 Combine like terms: -69 + 69 = 0 0 + -9d = 0 + 69 -9d = 0 + 69 Combine like terms: 0 + 69 = 69 -9d = 69 Divide each side by '-9'. d = -7.666666667 Simplifying d = -7.666666667
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