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Simplifying 8(4d + -1) + -12d = 11(2d + -6) Reorder the terms: 8(-1 + 4d) + -12d = 11(2d + -6) (-1 * 8 + 4d * 8) + -12d = 11(2d + -6) (-8 + 32d) + -12d = 11(2d + -6) Combine like terms: 32d + -12d = 20d -8 + 20d = 11(2d + -6) Reorder the terms: -8 + 20d = 11(-6 + 2d) -8 + 20d = (-6 * 11 + 2d * 11) -8 + 20d = (-66 + 22d) Solving -8 + 20d = -66 + 22d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-22d' to each side of the equation. -8 + 20d + -22d = -66 + 22d + -22d Combine like terms: 20d + -22d = -2d -8 + -2d = -66 + 22d + -22d Combine like terms: 22d + -22d = 0 -8 + -2d = -66 + 0 -8 + -2d = -66 Add '8' to each side of the equation. -8 + 8 + -2d = -66 + 8 Combine like terms: -8 + 8 = 0 0 + -2d = -66 + 8 -2d = -66 + 8 Combine like terms: -66 + 8 = -58 -2d = -58 Divide each side by '-2'. d = 29 Simplifying d = 29
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