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Simplifying 9(d + 5) = 3(d + -3) + 6 Reorder the terms: 9(5 + d) = 3(d + -3) + 6 (5 * 9 + d * 9) = 3(d + -3) + 6 (45 + 9d) = 3(d + -3) + 6 Reorder the terms: 45 + 9d = 3(-3 + d) + 6 45 + 9d = (-3 * 3 + d * 3) + 6 45 + 9d = (-9 + 3d) + 6 Reorder the terms: 45 + 9d = -9 + 6 + 3d Combine like terms: -9 + 6 = -3 45 + 9d = -3 + 3d Solving 45 + 9d = -3 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 45 + 9d + -3d = -3 + 3d + -3d Combine like terms: 9d + -3d = 6d 45 + 6d = -3 + 3d + -3d Combine like terms: 3d + -3d = 0 45 + 6d = -3 + 0 45 + 6d = -3 Add '-45' to each side of the equation. 45 + -45 + 6d = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 6d = -3 + -45 6d = -3 + -45 Combine like terms: -3 + -45 = -48 6d = -48 Divide each side by '6'. d = -8 Simplifying d = -8
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