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Simplifying 6(1d + -4) = 4d + -18 Reorder the terms: 6(-4 + 1d) = 4d + -18 (-4 * 6 + 1d * 6) = 4d + -18 (-24 + 6d) = 4d + -18 Reorder the terms: -24 + 6d = -18 + 4d Solving -24 + 6d = -18 + 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. -24 + 6d + -4d = -18 + 4d + -4d Combine like terms: 6d + -4d = 2d -24 + 2d = -18 + 4d + -4d Combine like terms: 4d + -4d = 0 -24 + 2d = -18 + 0 -24 + 2d = -18 Add '24' to each side of the equation. -24 + 24 + 2d = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 2d = -18 + 24 2d = -18 + 24 Combine like terms: -18 + 24 = 6 2d = 6 Divide each side by '2'. d = 3 Simplifying d = 3
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