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Simplifying -6(1 + -7d) = 34 (1 * -6 + -7d * -6) = 34 (-6 + 42d) = 34 Solving -6 + 42d = 34 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 = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 42d = 34 + 6 42d = 34 + 6 Combine like terms: 34 + 6 = 40 42d = 40 Divide each side by '42'. d = 0.9523809524 Simplifying d = 0.9523809524
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