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Simplifying 3d + -4(2d + 1) = 6 Reorder the terms: 3d + -4(1 + 2d) = 6 3d + (1 * -4 + 2d * -4) = 6 3d + (-4 + -8d) = 6 Reorder the terms: -4 + 3d + -8d = 6 Combine like terms: 3d + -8d = -5d -4 + -5d = 6 Solving -4 + -5d = 6 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5d = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -5d = 6 + 4 -5d = 6 + 4 Combine like terms: 6 + 4 = 10 -5d = 10 Divide each side by '-5'. d = -2 Simplifying d = -2
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