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Simplifying 2(9u + -4) = 4(u + 5) Reorder the terms: 2(-4 + 9u) = 4(u + 5) (-4 * 2 + 9u * 2) = 4(u + 5) (-8 + 18u) = 4(u + 5) Reorder the terms: -8 + 18u = 4(5 + u) -8 + 18u = (5 * 4 + u * 4) -8 + 18u = (20 + 4u) Solving -8 + 18u = 20 + 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. -8 + 18u + -4u = 20 + 4u + -4u Combine like terms: 18u + -4u = 14u -8 + 14u = 20 + 4u + -4u Combine like terms: 4u + -4u = 0 -8 + 14u = 20 + 0 -8 + 14u = 20 Add '8' to each side of the equation. -8 + 8 + 14u = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 14u = 20 + 8 14u = 20 + 8 Combine like terms: 20 + 8 = 28 14u = 28 Divide each side by '14'. u = 2 Simplifying u = 2
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