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Simplifying 0.5(u + -5) = 2u + 5 Reorder the terms: 0.5(-5 + u) = 2u + 5 (-5 * 0.5 + u * 0.5) = 2u + 5 (-2.5 + 0.5u) = 2u + 5 Reorder the terms: -2.5 + 0.5u = 5 + 2u Solving -2.5 + 0.5u = 5 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -2.5 + 0.5u + -2u = 5 + 2u + -2u Combine like terms: 0.5u + -2u = -1.5u -2.5 + -1.5u = 5 + 2u + -2u Combine like terms: 2u + -2u = 0 -2.5 + -1.5u = 5 + 0 -2.5 + -1.5u = 5 Add '2.5' to each side of the equation. -2.5 + 2.5 + -1.5u = 5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -1.5u = 5 + 2.5 -1.5u = 5 + 2.5 Combine like terms: 5 + 2.5 = 7.5 -1.5u = 7.5 Divide each side by '-1.5'. u = -5 Simplifying u = -5
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