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Simplifying 3(d + -15) = 9 + -4d Reorder the terms: 3(-15 + d) = 9 + -4d (-15 * 3 + d * 3) = 9 + -4d (-45 + 3d) = 9 + -4d Solving -45 + 3d = 9 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -45 + 3d + 4d = 9 + -4d + 4d Combine like terms: 3d + 4d = 7d -45 + 7d = 9 + -4d + 4d Combine like terms: -4d + 4d = 0 -45 + 7d = 9 + 0 -45 + 7d = 9 Add '45' to each side of the equation. -45 + 45 + 7d = 9 + 45 Combine like terms: -45 + 45 = 0 0 + 7d = 9 + 45 7d = 9 + 45 Combine like terms: 9 + 45 = 54 7d = 54 Divide each side by '7'. d = 7.714285714 Simplifying d = 7.714285714
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