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Simplifying -2(4d + 1) + d = -5d + 8 Reorder the terms: -2(1 + 4d) + d = -5d + 8 (1 * -2 + 4d * -2) + d = -5d + 8 (-2 + -8d) + d = -5d + 8 Combine like terms: -8d + d = -7d -2 + -7d = -5d + 8 Reorder the terms: -2 + -7d = 8 + -5d Solving -2 + -7d = 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 + -7d + 5d = 8 + -5d + 5d Combine like terms: -7d + 5d = -2d -2 + -2d = 8 + -5d + 5d Combine like terms: -5d + 5d = 0 -2 + -2d = 8 + 0 -2 + -2d = 8 Add '2' to each side of the equation. -2 + 2 + -2d = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2d = 8 + 2 -2d = 8 + 2 Combine like terms: 8 + 2 = 10 -2d = 10 Divide each side by '-2'. d = -5 Simplifying d = -5
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