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Simplifying 4(3 + -1d) = -1(d + 5) (3 * 4 + -1d * 4) = -1(d + 5) (12 + -4d) = -1(d + 5) Reorder the terms: 12 + -4d = -1(5 + d) 12 + -4d = (5 * -1 + d * -1) 12 + -4d = (-5 + -1d) Solving 12 + -4d = -5 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 12 + -4d + d = -5 + -1d + d Combine like terms: -4d + d = -3d 12 + -3d = -5 + -1d + d Combine like terms: -1d + d = 0 12 + -3d = -5 + 0 12 + -3d = -5 Add '-12' to each side of the equation. 12 + -12 + -3d = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -3d = -5 + -12 -3d = -5 + -12 Combine like terms: -5 + -12 = -17 -3d = -17 Divide each side by '-3'. d = 5.666666667 Simplifying d = 5.666666667
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