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Simplifying 35d + 1(-7 + 7d) + 1 = 0 35d + (-7 * 1 + 7d * 1) + 1 = 0 35d + (-7 + 7d) + 1 = 0 Reorder the terms: -7 + 1 + 35d + 7d = 0 Combine like terms: -7 + 1 = -6 -6 + 35d + 7d = 0 Combine like terms: 35d + 7d = 42d -6 + 42d = 0 Solving -6 + 42d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 42d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 42d = 0 + 6 42d = 0 + 6 Combine like terms: 0 + 6 = 6 42d = 6 Divide each side by '42'. d = 0.1428571429 Simplifying d = 0.1428571429
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