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Simplifying 9 = 6d + -3(4d + 5) Reorder the terms: 9 = 6d + -3(5 + 4d) 9 = 6d + (5 * -3 + 4d * -3) 9 = 6d + (-15 + -12d) Reorder the terms: 9 = -15 + 6d + -12d Combine like terms: 6d + -12d = -6d 9 = -15 + -6d Solving 9 = -15 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 9 + 6d = -15 + -6d + 6d Combine like terms: -6d + 6d = 0 9 + 6d = -15 + 0 9 + 6d = -15 Add '-9' to each side of the equation. 9 + -9 + 6d = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 6d = -15 + -9 6d = -15 + -9 Combine like terms: -15 + -9 = -24 6d = -24 Divide each side by '6'. d = -4 Simplifying d = -4
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