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Simplifying 7(d + -5) + 8 = 0 Reorder the terms: 7(-5 + d) + 8 = 0 (-5 * 7 + d * 7) + 8 = 0 (-35 + 7d) + 8 = 0 Reorder the terms: -35 + 8 + 7d = 0 Combine like terms: -35 + 8 = -27 -27 + 7d = 0 Solving -27 + 7d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7d = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 7d = 0 + 27 7d = 0 + 27 Combine like terms: 0 + 27 = 27 7d = 27 Divide each side by '7'. d = 3.857142857 Simplifying d = 3.857142857
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