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Simplifying 6d + -3(d + -4) = -2(d + 4) Reorder the terms: 6d + -3(-4 + d) = -2(d + 4) 6d + (-4 * -3 + d * -3) = -2(d + 4) 6d + (12 + -3d) = -2(d + 4) Reorder the terms: 12 + 6d + -3d = -2(d + 4) Combine like terms: 6d + -3d = 3d 12 + 3d = -2(d + 4) Reorder the terms: 12 + 3d = -2(4 + d) 12 + 3d = (4 * -2 + d * -2) 12 + 3d = (-8 + -2d) Solving 12 + 3d = -8 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 12 + 3d + 2d = -8 + -2d + 2d Combine like terms: 3d + 2d = 5d 12 + 5d = -8 + -2d + 2d Combine like terms: -2d + 2d = 0 12 + 5d = -8 + 0 12 + 5d = -8 Add '-12' to each side of the equation. 12 + -12 + 5d = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 5d = -8 + -12 5d = -8 + -12 Combine like terms: -8 + -12 = -20 5d = -20 Divide each side by '5'. d = -4 Simplifying d = -4
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