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Simplifying 3(2d + -8) = 11d + -8(d + -3) Reorder the terms: 3(-8 + 2d) = 11d + -8(d + -3) (-8 * 3 + 2d * 3) = 11d + -8(d + -3) (-24 + 6d) = 11d + -8(d + -3) Reorder the terms: -24 + 6d = 11d + -8(-3 + d) -24 + 6d = 11d + (-3 * -8 + d * -8) -24 + 6d = 11d + (24 + -8d) Reorder the terms: -24 + 6d = 24 + 11d + -8d Combine like terms: 11d + -8d = 3d -24 + 6d = 24 + 3d Solving -24 + 6d = 24 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -24 + 6d + -3d = 24 + 3d + -3d Combine like terms: 6d + -3d = 3d -24 + 3d = 24 + 3d + -3d Combine like terms: 3d + -3d = 0 -24 + 3d = 24 + 0 -24 + 3d = 24 Add '24' to each side of the equation. -24 + 24 + 3d = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 3d = 24 + 24 3d = 24 + 24 Combine like terms: 24 + 24 = 48 3d = 48 Divide each side by '3'. d = 16 Simplifying d = 16
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