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Simplifying 9(d + 5) = (d + -3) + 6d Reorder the terms: 9(5 + d) = (d + -3) + 6d (5 * 9 + d * 9) = (d + -3) + 6d (45 + 9d) = (d + -3) + 6d Reorder the terms: 45 + 9d = (-3 + d) + 6d Remove parenthesis around (-3 + d) 45 + 9d = -3 + d + 6d Combine like terms: d + 6d = 7d 45 + 9d = -3 + 7d Solving 45 + 9d = -3 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 45 + 9d + -7d = -3 + 7d + -7d Combine like terms: 9d + -7d = 2d 45 + 2d = -3 + 7d + -7d Combine like terms: 7d + -7d = 0 45 + 2d = -3 + 0 45 + 2d = -3 Add '-45' to each side of the equation. 45 + -45 + 2d = -3 + -45 Combine like terms: 45 + -45 = 0 0 + 2d = -3 + -45 2d = -3 + -45 Combine like terms: -3 + -45 = -48 2d = -48 Divide each side by '2'. d = -24 Simplifying d = -24
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