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Simplifying -7(-4u + 6) + -6u = 6(u + -7) + -4 Reorder the terms: -7(6 + -4u) + -6u = 6(u + -7) + -4 (6 * -7 + -4u * -7) + -6u = 6(u + -7) + -4 (-42 + 28u) + -6u = 6(u + -7) + -4 Combine like terms: 28u + -6u = 22u -42 + 22u = 6(u + -7) + -4 Reorder the terms: -42 + 22u = 6(-7 + u) + -4 -42 + 22u = (-7 * 6 + u * 6) + -4 -42 + 22u = (-42 + 6u) + -4 Reorder the terms: -42 + 22u = -42 + -4 + 6u Combine like terms: -42 + -4 = -46 -42 + 22u = -46 + 6u Solving -42 + 22u = -46 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -42 + 22u + -6u = -46 + 6u + -6u Combine like terms: 22u + -6u = 16u -42 + 16u = -46 + 6u + -6u Combine like terms: 6u + -6u = 0 -42 + 16u = -46 + 0 -42 + 16u = -46 Add '42' to each side of the equation. -42 + 42 + 16u = -46 + 42 Combine like terms: -42 + 42 = 0 0 + 16u = -46 + 42 16u = -46 + 42 Combine like terms: -46 + 42 = -4 16u = -4 Divide each side by '16'. u = -0.25 Simplifying u = -0.25
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