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Simplifying 5d + 6(5d + -1) + -7 = 0 Reorder the terms: 5d + 6(-1 + 5d) + -7 = 0 5d + (-1 * 6 + 5d * 6) + -7 = 0 5d + (-6 + 30d) + -7 = 0 Reorder the terms: -6 + -7 + 5d + 30d = 0 Combine like terms: -6 + -7 = -13 -13 + 5d + 30d = 0 Combine like terms: 5d + 30d = 35d -13 + 35d = 0 Solving -13 + 35d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 35d = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 35d = 0 + 13 35d = 0 + 13 Combine like terms: 0 + 13 = 13 35d = 13 Divide each side by '35'. d = 0.3714285714 Simplifying d = 0.3714285714
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