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Simplifying 7 + -5(7d + -4) + 9(2d + -3) = 0 Reorder the terms: 7 + -5(-4 + 7d) + 9(2d + -3) = 0 7 + (-4 * -5 + 7d * -5) + 9(2d + -3) = 0 7 + (20 + -35d) + 9(2d + -3) = 0 Reorder the terms: 7 + 20 + -35d + 9(-3 + 2d) = 0 7 + 20 + -35d + (-3 * 9 + 2d * 9) = 0 7 + 20 + -35d + (-27 + 18d) = 0 Reorder the terms: 7 + 20 + -27 + -35d + 18d = 0 Combine like terms: 7 + 20 = 27 27 + -27 + -35d + 18d = 0 Combine like terms: 27 + -27 = 0 0 + -35d + 18d = 0 -35d + 18d = 0 Combine like terms: -35d + 18d = -17d -17d = 0 Solving -17d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Divide each side by '-17'. d = 0 Simplifying d = 0
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