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Simplifying 30d + -1(-1d + 6) + (-5d + 4) = -1(5d + 6) + (-8 + 3d) Reorder the terms: 30d + -1(6 + -1d) + (-5d + 4) = -1(5d + 6) + (-8 + 3d) 30d + (6 * -1 + -1d * -1) + (-5d + 4) = -1(5d + 6) + (-8 + 3d) 30d + (-6 + 1d) + (-5d + 4) = -1(5d + 6) + (-8 + 3d) Reorder the terms: 30d + -6 + 1d + (4 + -5d) = -1(5d + 6) + (-8 + 3d) Remove parenthesis around (4 + -5d) 30d + -6 + 1d + 4 + -5d = -1(5d + 6) + (-8 + 3d) Reorder the terms: -6 + 4 + 30d + 1d + -5d = -1(5d + 6) + (-8 + 3d) Combine like terms: -6 + 4 = -2 -2 + 30d + 1d + -5d = -1(5d + 6) + (-8 + 3d) Combine like terms: 30d + 1d = 31d -2 + 31d + -5d = -1(5d + 6) + (-8 + 3d) Combine like terms: 31d + -5d = 26d -2 + 26d = -1(5d + 6) + (-8 + 3d) Reorder the terms: -2 + 26d = -1(6 + 5d) + (-8 + 3d) -2 + 26d = (6 * -1 + 5d * -1) + (-8 + 3d) -2 + 26d = (-6 + -5d) + (-8 + 3d) Remove parenthesis around (-8 + 3d) -2 + 26d = -6 + -5d + -8 + 3d Reorder the terms: -2 + 26d = -6 + -8 + -5d + 3d Combine like terms: -6 + -8 = -14 -2 + 26d = -14 + -5d + 3d Combine like terms: -5d + 3d = -2d -2 + 26d = -14 + -2d Solving -2 + 26d = -14 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -2 + 26d + 2d = -14 + -2d + 2d Combine like terms: 26d + 2d = 28d -2 + 28d = -14 + -2d + 2d Combine like terms: -2d + 2d = 0 -2 + 28d = -14 + 0 -2 + 28d = -14 Add '2' to each side of the equation. -2 + 2 + 28d = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 28d = -14 + 2 28d = -14 + 2 Combine like terms: -14 + 2 = -12 28d = -12 Divide each side by '28'. d = -0.4285714286 Simplifying d = -0.4285714286
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