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Simplifying 3(2d + -8) = 11x + -18(x + -3) Reorder the terms: 3(-8 + 2d) = 11x + -18(x + -3) (-8 * 3 + 2d * 3) = 11x + -18(x + -3) (-24 + 6d) = 11x + -18(x + -3) Reorder the terms: -24 + 6d = 11x + -18(-3 + x) -24 + 6d = 11x + (-3 * -18 + x * -18) -24 + 6d = 11x + (54 + -18x) Reorder the terms: -24 + 6d = 54 + 11x + -18x Combine like terms: 11x + -18x = -7x -24 + 6d = 54 + -7x Solving -24 + 6d = 54 + -7x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6d = 54 + 24 + -7x Combine like terms: -24 + 24 = 0 0 + 6d = 54 + 24 + -7x 6d = 54 + 24 + -7x Combine like terms: 54 + 24 = 78 6d = 78 + -7x Divide each side by '6'. d = 13 + -1.166666667x Simplifying d = 13 + -1.166666667x
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