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Simplifying 3(3d + -5) = 2(d + 8) Reorder the terms: 3(-5 + 3d) = 2(d + 8) (-5 * 3 + 3d * 3) = 2(d + 8) (-15 + 9d) = 2(d + 8) Reorder the terms: -15 + 9d = 2(8 + d) -15 + 9d = (8 * 2 + d * 2) -15 + 9d = (16 + 2d) Solving -15 + 9d = 16 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -15 + 9d + -2d = 16 + 2d + -2d Combine like terms: 9d + -2d = 7d -15 + 7d = 16 + 2d + -2d Combine like terms: 2d + -2d = 0 -15 + 7d = 16 + 0 -15 + 7d = 16 Add '15' to each side of the equation. -15 + 15 + 7d = 16 + 15 Combine like terms: -15 + 15 = 0 0 + 7d = 16 + 15 7d = 16 + 15 Combine like terms: 16 + 15 = 31 7d = 31 Divide each side by '7'. d = 4.428571429 Simplifying d = 4.428571429
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