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Simplifying 2(-5d + 1)(-2) = 8 + 5d Reorder the terms: 2(1 + -5d)(-2) = 8 + 5d Reorder the terms for easier multiplication: 2 * -2(1 + -5d) = 8 + 5d Multiply 2 * -2 -4(1 + -5d) = 8 + 5d (1 * -4 + -5d * -4) = 8 + 5d (-4 + 20d) = 8 + 5d Solving -4 + 20d = 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. -4 + 20d + -5d = 8 + 5d + -5d Combine like terms: 20d + -5d = 15d -4 + 15d = 8 + 5d + -5d Combine like terms: 5d + -5d = 0 -4 + 15d = 8 + 0 -4 + 15d = 8 Add '4' to each side of the equation. -4 + 4 + 15d = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 15d = 8 + 4 15d = 8 + 4 Combine like terms: 8 + 4 = 12 15d = 12 Divide each side by '15'. d = 0.8 Simplifying d = 0.8
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