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Simplifying 2(3d + -4) = 2(2d + 6) Reorder the terms: 2(-4 + 3d) = 2(2d + 6) (-4 * 2 + 3d * 2) = 2(2d + 6) (-8 + 6d) = 2(2d + 6) Reorder the terms: -8 + 6d = 2(6 + 2d) -8 + 6d = (6 * 2 + 2d * 2) -8 + 6d = (12 + 4d) Solving -8 + 6d = 12 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. -8 + 6d + -4d = 12 + 4d + -4d Combine like terms: 6d + -4d = 2d -8 + 2d = 12 + 4d + -4d Combine like terms: 4d + -4d = 0 -8 + 2d = 12 + 0 -8 + 2d = 12 Add '8' to each side of the equation. -8 + 8 + 2d = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2d = 12 + 8 2d = 12 + 8 Combine like terms: 12 + 8 = 20 2d = 20 Divide each side by '2'. d = 10 Simplifying d = 10
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