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Simplifying 5 + -6(4d + 10) + 7d = 2d Reorder the terms: 5 + -6(10 + 4d) + 7d = 2d 5 + (10 * -6 + 4d * -6) + 7d = 2d 5 + (-60 + -24d) + 7d = 2d Combine like terms: 5 + -60 = -55 -55 + -24d + 7d = 2d Combine like terms: -24d + 7d = -17d -55 + -17d = 2d Solving -55 + -17d = 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. -55 + -17d + -2d = 2d + -2d Combine like terms: -17d + -2d = -19d -55 + -19d = 2d + -2d Combine like terms: 2d + -2d = 0 -55 + -19d = 0 Add '55' to each side of the equation. -55 + 55 + -19d = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -19d = 0 + 55 -19d = 0 + 55 Combine like terms: 0 + 55 = 55 -19d = 55 Divide each side by '-19'. d = -2.894736842 Simplifying d = -2.894736842
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