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Simplifying -384 = -6(-7d + 8) + 6x Reorder the terms: -384 = -6(8 + -7d) + 6x -384 = (8 * -6 + -7d * -6) + 6x -384 = (-48 + 42d) + 6x Solving -384 = -48 + 42d + 6x Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-42d' to each side of the equation. -384 + -42d = -48 + 42d + -42d + 6x Combine like terms: 42d + -42d = 0 -384 + -42d = -48 + 0 + 6x -384 + -42d = -48 + 6x Add '384' to each side of the equation. -384 + 384 + -42d = -48 + 384 + 6x Combine like terms: -384 + 384 = 0 0 + -42d = -48 + 384 + 6x -42d = -48 + 384 + 6x Combine like terms: -48 + 384 = 336 -42d = 336 + 6x Divide each side by '-42'. d = -8 + -0.1428571429x Simplifying d = -8 + -0.1428571429x
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