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Simplifying 5(d + -3) + 2d = 8(3d + -7) Reorder the terms: 5(-3 + d) + 2d = 8(3d + -7) (-3 * 5 + d * 5) + 2d = 8(3d + -7) (-15 + 5d) + 2d = 8(3d + -7) Combine like terms: 5d + 2d = 7d -15 + 7d = 8(3d + -7) Reorder the terms: -15 + 7d = 8(-7 + 3d) -15 + 7d = (-7 * 8 + 3d * 8) -15 + 7d = (-56 + 24d) Solving -15 + 7d = -56 + 24d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-24d' to each side of the equation. -15 + 7d + -24d = -56 + 24d + -24d Combine like terms: 7d + -24d = -17d -15 + -17d = -56 + 24d + -24d Combine like terms: 24d + -24d = 0 -15 + -17d = -56 + 0 -15 + -17d = -56 Add '15' to each side of the equation. -15 + 15 + -17d = -56 + 15 Combine like terms: -15 + 15 = 0 0 + -17d = -56 + 15 -17d = -56 + 15 Combine like terms: -56 + 15 = -41 -17d = -41 Divide each side by '-17'. d = 2.411764706 Simplifying d = 2.411764706
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