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Simplifying 0.5(u + -3) = 2u + -1.5 Reorder the terms: 0.5(-3 + u) = 2u + -1.5 (-3 * 0.5 + u * 0.5) = 2u + -1.5 (-1.5 + 0.5u) = 2u + -1.5 Reorder the terms: -1.5 + 0.5u = -1.5 + 2u Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.5u = -1.5 + 1.5 + 2u Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5u = -1.5 + 1.5 + 2u 0.5u = -1.5 + 1.5 + 2u Combine like terms: -1.5 + 1.5 = 0.0 0.5u = 0.0 + 2u 0.5u = 2u Solving 0.5u = 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. 0.5u + -2u = 2u + -2u Combine like terms: 0.5u + -2u = -1.5u -1.5u = 2u + -2u Combine like terms: 2u + -2u = 0 -1.5u = 0 Divide each side by '-1.5'. u = 0 Simplifying u = 0
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