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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 = -15d -2 + -15d = 8 + 5d + -5d Combine like terms: 5d + -5d = 0 -2 + -15d = 8 + 0 -2 + -15d = 8 Add '2' to each side of the equation. -2 + 2 + -15d = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -15d = 8 + 2 -15d = 8 + 2 Combine like terms: 8 + 2 = 10 -15d = 10 Divide each side by '-15'. d = -0.6666666667 Simplifying d = -0.6666666667
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