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Simplifying 3(2d + -8) = 11f + -18(d + -3) Reorder the terms: 3(-8 + 2d) = 11f + -18(d + -3) (-8 * 3 + 2d * 3) = 11f + -18(d + -3) (-24 + 6d) = 11f + -18(d + -3) Reorder the terms: -24 + 6d = 11f + -18(-3 + d) -24 + 6d = 11f + (-3 * -18 + d * -18) -24 + 6d = 11f + (54 + -18d) Reorder the terms: -24 + 6d = 54 + -18d + 11f Solving -24 + 6d = 54 + -18d + 11f Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18d' to each side of the equation. -24 + 6d + 18d = 54 + -18d + 18d + 11f Combine like terms: 6d + 18d = 24d -24 + 24d = 54 + -18d + 18d + 11f Combine like terms: -18d + 18d = 0 -24 + 24d = 54 + 0 + 11f -24 + 24d = 54 + 11f Add '24' to each side of the equation. -24 + 24 + 24d = 54 + 24 + 11f Combine like terms: -24 + 24 = 0 0 + 24d = 54 + 24 + 11f 24d = 54 + 24 + 11f Combine like terms: 54 + 24 = 78 24d = 78 + 11f Divide each side by '24'. d = 3.25 + 0.4583333333f Simplifying d = 3.25 + 0.4583333333f
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