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Simplifying 4(1 + -1d) = 3(d + -1) (1 * 4 + -1d * 4) = 3(d + -1) (4 + -4d) = 3(d + -1) Reorder the terms: 4 + -4d = 3(-1 + d) 4 + -4d = (-1 * 3 + d * 3) 4 + -4d = (-3 + 3d) Solving 4 + -4d = -3 + 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. 4 + -4d + -3d = -3 + 3d + -3d Combine like terms: -4d + -3d = -7d 4 + -7d = -3 + 3d + -3d Combine like terms: 3d + -3d = 0 4 + -7d = -3 + 0 4 + -7d = -3 Add '-4' to each side of the equation. 4 + -4 + -7d = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7d = -3 + -4 -7d = -3 + -4 Combine like terms: -3 + -4 = -7 -7d = -7 Divide each side by '-7'. d = 1 Simplifying d = 1
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