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Simplifying 9(d + 5) = 3(d + -3) + -5d Reorder the terms: 9(5 + d) = 3(d + -3) + -5d (5 * 9 + d * 9) = 3(d + -3) + -5d (45 + 9d) = 3(d + -3) + -5d Reorder the terms: 45 + 9d = 3(-3 + d) + -5d 45 + 9d = (-3 * 3 + d * 3) + -5d 45 + 9d = (-9 + 3d) + -5d Combine like terms: 3d + -5d = -2d 45 + 9d = -9 + -2d Solving 45 + 9d = -9 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 45 + 9d + 2d = -9 + -2d + 2d Combine like terms: 9d + 2d = 11d 45 + 11d = -9 + -2d + 2d Combine like terms: -2d + 2d = 0 45 + 11d = -9 + 0 45 + 11d = -9 Add '-45' to each side of the equation. 45 + -45 + 11d = -9 + -45 Combine like terms: 45 + -45 = 0 0 + 11d = -9 + -45 11d = -9 + -45 Combine like terms: -9 + -45 = -54 11d = -54 Divide each side by '11'. d = -4.909090909 Simplifying d = -4.909090909
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