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Simplifying 6(d + 3) + 3(d + -5) = 0 Reorder the terms: 6(3 + d) + 3(d + -5) = 0 (3 * 6 + d * 6) + 3(d + -5) = 0 (18 + 6d) + 3(d + -5) = 0 Reorder the terms: 18 + 6d + 3(-5 + d) = 0 18 + 6d + (-5 * 3 + d * 3) = 0 18 + 6d + (-15 + 3d) = 0 Reorder the terms: 18 + -15 + 6d + 3d = 0 Combine like terms: 18 + -15 = 3 3 + 6d + 3d = 0 Combine like terms: 6d + 3d = 9d 3 + 9d = 0 Solving 3 + 9d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 9d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 9d = 0 + -3 9d = 0 + -3 Combine like terms: 0 + -3 = -3 9d = -3 Divide each side by '9'. d = -0.3333333333 Simplifying d = -0.3333333333
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