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Simplifying 3(2d + -4) + -2n = 24 Reorder the terms: 3(-4 + 2d) + -2n = 24 (-4 * 3 + 2d * 3) + -2n = 24 (-12 + 6d) + -2n = 24 Solving -12 + 6d + -2n = 24 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6d + 12 + -2n = 24 + 12 Reorder the terms: -12 + 12 + 6d + -2n = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 6d + -2n = 24 + 12 6d + -2n = 24 + 12 Combine like terms: 24 + 12 = 36 6d + -2n = 36 Add '2n' to each side of the equation. 6d + -2n + 2n = 36 + 2n Combine like terms: -2n + 2n = 0 6d + 0 = 36 + 2n 6d = 36 + 2n Divide each side by '6'. d = 6 + 0.3333333333n Simplifying d = 6 + 0.3333333333n
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