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Simplifying -6(4d + 10) + 7d = -3d Reorder the terms: -6(10 + 4d) + 7d = -3d (10 * -6 + 4d * -6) + 7d = -3d (-60 + -24d) + 7d = -3d Combine like terms: -24d + 7d = -17d -60 + -17d = -3d Solving -60 + -17d = -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. -60 + -17d + 3d = -3d + 3d Combine like terms: -17d + 3d = -14d -60 + -14d = -3d + 3d Combine like terms: -3d + 3d = 0 -60 + -14d = 0 Add '60' to each side of the equation. -60 + 60 + -14d = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -14d = 0 + 60 -14d = 0 + 60 Combine like terms: 0 + 60 = 60 -14d = 60 Divide each side by '-14'. d = -4.285714286 Simplifying d = -4.285714286
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