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Simplifying -6(4d + 5) + 7d = -2d Reorder the terms: -6(5 + 4d) + 7d = -2d (5 * -6 + 4d * -6) + 7d = -2d (-30 + -24d) + 7d = -2d Combine like terms: -24d + 7d = -17d -30 + -17d = -2d Solving -30 + -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. -30 + -17d + 2d = -2d + 2d Combine like terms: -17d + 2d = -15d -30 + -15d = -2d + 2d Combine like terms: -2d + 2d = 0 -30 + -15d = 0 Add '30' to each side of the equation. -30 + 30 + -15d = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -15d = 0 + 30 -15d = 0 + 30 Combine like terms: 0 + 30 = 30 -15d = 30 Divide each side by '-15'. d = -2 Simplifying d = -2
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