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Simplifying -1(3d + 4) = 5(2 + -1d) Reorder the terms: -1(4 + 3d) = 5(2 + -1d) (4 * -1 + 3d * -1) = 5(2 + -1d) (-4 + -3d) = 5(2 + -1d) -4 + -3d = (2 * 5 + -1d * 5) -4 + -3d = (10 + -5d) Solving -4 + -3d = 10 + -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 + -3d + 5d = 10 + -5d + 5d Combine like terms: -3d + 5d = 2d -4 + 2d = 10 + -5d + 5d Combine like terms: -5d + 5d = 0 -4 + 2d = 10 + 0 -4 + 2d = 10 Add '4' to each side of the equation. -4 + 4 + 2d = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2d = 10 + 4 2d = 10 + 4 Combine like terms: 10 + 4 = 14 2d = 14 Divide each side by '2'. d = 7 Simplifying d = 7
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