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Simplifying 5(2 + -1d) = 6(d + -5) + 6d (2 * 5 + -1d * 5) = 6(d + -5) + 6d (10 + -5d) = 6(d + -5) + 6d Reorder the terms: 10 + -5d = 6(-5 + d) + 6d 10 + -5d = (-5 * 6 + d * 6) + 6d 10 + -5d = (-30 + 6d) + 6d Combine like terms: 6d + 6d = 12d 10 + -5d = -30 + 12d Solving 10 + -5d = -30 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 10 + -5d + -12d = -30 + 12d + -12d Combine like terms: -5d + -12d = -17d 10 + -17d = -30 + 12d + -12d Combine like terms: 12d + -12d = 0 10 + -17d = -30 + 0 10 + -17d = -30 Add '-10' to each side of the equation. 10 + -10 + -17d = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -17d = -30 + -10 -17d = -30 + -10 Combine like terms: -30 + -10 = -40 -17d = -40 Divide each side by '-17'. d = 2.352941176 Simplifying d = 2.352941176
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