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Simplifying -8(3x + -2u + -6) = 0 Reorder the terms: -8(-6 + -2u + 3x) = 0 (-6 * -8 + -2u * -8 + 3x * -8) = 0 (48 + 16u + -24x) = 0 Solving 48 + 16u + -24x = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 16u + -48 + -24x = 0 + -48 Reorder the terms: 48 + -48 + 16u + -24x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 16u + -24x = 0 + -48 16u + -24x = 0 + -48 Combine like terms: 0 + -48 = -48 16u + -24x = -48 Add '24x' to each side of the equation. 16u + -24x + 24x = -48 + 24x Combine like terms: -24x + 24x = 0 16u + 0 = -48 + 24x 16u = -48 + 24x Divide each side by '16'. u = -3 + 1.5x Simplifying u = -3 + 1.5x
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