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Simplifying (-5d + 1)(-2) = 8 + 5d Reorder the terms: (1 + -5d)(-2) = 8 + 5d Reorder the terms for easier multiplication: -2(1 + -5d) = 8 + 5d (1 * -2 + -5d * -2) = 8 + 5d (-2 + 10d) = 8 + 5d Solving -2 + 10d = 8 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -2 + 10d + -5d = 8 + 5d + -5d Combine like terms: 10d + -5d = 5d -2 + 5d = 8 + 5d + -5d Combine like terms: 5d + -5d = 0 -2 + 5d = 8 + 0 -2 + 5d = 8 Add '2' to each side of the equation. -2 + 2 + 5d = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5d = 8 + 2 5d = 8 + 2 Combine like terms: 8 + 2 = 10 5d = 10 Divide each side by '5'. d = 2 Simplifying d = 2
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