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Simplifying -1(3 + -1d) = 4(2d + 8) (3 * -1 + -1d * -1) = 4(2d + 8) (-3 + 1d) = 4(2d + 8) Reorder the terms: -3 + 1d = 4(8 + 2d) -3 + 1d = (8 * 4 + 2d * 4) -3 + 1d = (32 + 8d) Solving -3 + 1d = 32 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -3 + 1d + -8d = 32 + 8d + -8d Combine like terms: 1d + -8d = -7d -3 + -7d = 32 + 8d + -8d Combine like terms: 8d + -8d = 0 -3 + -7d = 32 + 0 -3 + -7d = 32 Add '3' to each side of the equation. -3 + 3 + -7d = 32 + 3 Combine like terms: -3 + 3 = 0 0 + -7d = 32 + 3 -7d = 32 + 3 Combine like terms: 32 + 3 = 35 -7d = 35 Divide each side by '-7'. d = -5 Simplifying d = -5
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