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Simplifying 6(5 + -5u) = -4u + -12 (5 * 6 + -5u * 6) = -4u + -12 (30 + -30u) = -4u + -12 Reorder the terms: 30 + -30u = -12 + -4u Solving 30 + -30u = -12 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 30 + -30u + 4u = -12 + -4u + 4u Combine like terms: -30u + 4u = -26u 30 + -26u = -12 + -4u + 4u Combine like terms: -4u + 4u = 0 30 + -26u = -12 + 0 30 + -26u = -12 Add '-30' to each side of the equation. 30 + -30 + -26u = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -26u = -12 + -30 -26u = -12 + -30 Combine like terms: -12 + -30 = -42 -26u = -42 Divide each side by '-26'. u = 1.615384615 Simplifying u = 1.615384615
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