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Simplifying -11 + 3(4d + -3) + -1d = 3d + 4 + -8(-5 + d) Reorder the terms: -11 + 3(-3 + 4d) + -1d = 3d + 4 + -8(-5 + d) -11 + (-3 * 3 + 4d * 3) + -1d = 3d + 4 + -8(-5 + d) -11 + (-9 + 12d) + -1d = 3d + 4 + -8(-5 + d) Combine like terms: -11 + -9 = -20 -20 + 12d + -1d = 3d + 4 + -8(-5 + d) Combine like terms: 12d + -1d = 11d -20 + 11d = 3d + 4 + -8(-5 + d) -20 + 11d = 3d + 4 + (-5 * -8 + d * -8) -20 + 11d = 3d + 4 + (40 + -8d) Reorder the terms: -20 + 11d = 4 + 40 + 3d + -8d Combine like terms: 4 + 40 = 44 -20 + 11d = 44 + 3d + -8d Combine like terms: 3d + -8d = -5d -20 + 11d = 44 + -5d Solving -20 + 11d = 44 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. -20 + 11d + 5d = 44 + -5d + 5d Combine like terms: 11d + 5d = 16d -20 + 16d = 44 + -5d + 5d Combine like terms: -5d + 5d = 0 -20 + 16d = 44 + 0 -20 + 16d = 44 Add '20' to each side of the equation. -20 + 20 + 16d = 44 + 20 Combine like terms: -20 + 20 = 0 0 + 16d = 44 + 20 16d = 44 + 20 Combine like terms: 44 + 20 = 64 16d = 64 Divide each side by '16'. d = 4 Simplifying d = 4
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