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Simplifying 6(d + -3) = 4d + 2 Reorder the terms: 6(-3 + d) = 4d + 2 (-3 * 6 + d * 6) = 4d + 2 (-18 + 6d) = 4d + 2 Reorder the terms: -18 + 6d = 2 + 4d Solving -18 + 6d = 2 + 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. -18 + 6d + -4d = 2 + 4d + -4d Combine like terms: 6d + -4d = 2d -18 + 2d = 2 + 4d + -4d Combine like terms: 4d + -4d = 0 -18 + 2d = 2 + 0 -18 + 2d = 2 Add '18' to each side of the equation. -18 + 18 + 2d = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 2d = 2 + 18 2d = 2 + 18 Combine like terms: 2 + 18 = 20 2d = 20 Divide each side by '2'. d = 10 Simplifying d = 10
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