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Simplifying 6(d + -4) + 2(d + -9) = 0 Reorder the terms: 6(-4 + d) + 2(d + -9) = 0 (-4 * 6 + d * 6) + 2(d + -9) = 0 (-24 + 6d) + 2(d + -9) = 0 Reorder the terms: -24 + 6d + 2(-9 + d) = 0 -24 + 6d + (-9 * 2 + d * 2) = 0 -24 + 6d + (-18 + 2d) = 0 Reorder the terms: -24 + -18 + 6d + 2d = 0 Combine like terms: -24 + -18 = -42 -42 + 6d + 2d = 0 Combine like terms: 6d + 2d = 8d -42 + 8d = 0 Solving -42 + 8d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 8d = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 8d = 0 + 42 8d = 0 + 42 Combine like terms: 0 + 42 = 42 8d = 42 Divide each side by '8'. d = 5.25 Simplifying d = 5.25
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