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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 = 31d 30 + 31d = -2d Solving 30 + 31d = -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 + 31d + 2d = -2d + 2d Combine like terms: 31d + 2d = 33d 30 + 33d = -2d + 2d Combine like terms: -2d + 2d = 0 30 + 33d = 0 Add '-30' to each side of the equation. 30 + -30 + 33d = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 33d = 0 + -30 33d = 0 + -30 Combine like terms: 0 + -30 = -30 33d = -30 Divide each side by '33'. d = -0.9090909091 Simplifying d = -0.9090909091
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