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Simplifying -3(-12d + -2) = 2(-19 + -4d) Reorder the terms: -3(-2 + -12d) = 2(-19 + -4d) (-2 * -3 + -12d * -3) = 2(-19 + -4d) (6 + 36d) = 2(-19 + -4d) 6 + 36d = (-19 * 2 + -4d * 2) 6 + 36d = (-38 + -8d) Solving 6 + 36d = -38 + -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. 6 + 36d + 8d = -38 + -8d + 8d Combine like terms: 36d + 8d = 44d 6 + 44d = -38 + -8d + 8d Combine like terms: -8d + 8d = 0 6 + 44d = -38 + 0 6 + 44d = -38 Add '-6' to each side of the equation. 6 + -6 + 44d = -38 + -6 Combine like terms: 6 + -6 = 0 0 + 44d = -38 + -6 44d = -38 + -6 Combine like terms: -38 + -6 = -44 44d = -44 Divide each side by '44'. d = -1 Simplifying d = -1
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