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Simplifying -4(d + -2) = -7(1 + d) Reorder the terms: -4(-2 + d) = -7(1 + d) (-2 * -4 + d * -4) = -7(1 + d) (8 + -4d) = -7(1 + d) 8 + -4d = (1 * -7 + d * -7) 8 + -4d = (-7 + -7d) Solving 8 + -4d = -7 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. 8 + -4d + 7d = -7 + -7d + 7d Combine like terms: -4d + 7d = 3d 8 + 3d = -7 + -7d + 7d Combine like terms: -7d + 7d = 0 8 + 3d = -7 + 0 8 + 3d = -7 Add '-8' to each side of the equation. 8 + -8 + 3d = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3d = -7 + -8 3d = -7 + -8 Combine like terms: -7 + -8 = -15 3d = -15 Divide each side by '3'. d = -5 Simplifying d = -5
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