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Simplifying 2(u + -2) + -5u = -2(u + 3) Reorder the terms: 2(-2 + u) + -5u = -2(u + 3) (-2 * 2 + u * 2) + -5u = -2(u + 3) (-4 + 2u) + -5u = -2(u + 3) Combine like terms: 2u + -5u = -3u -4 + -3u = -2(u + 3) Reorder the terms: -4 + -3u = -2(3 + u) -4 + -3u = (3 * -2 + u * -2) -4 + -3u = (-6 + -2u) Solving -4 + -3u = -6 + -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. -4 + -3u + 2u = -6 + -2u + 2u Combine like terms: -3u + 2u = -1u -4 + -1u = -6 + -2u + 2u Combine like terms: -2u + 2u = 0 -4 + -1u = -6 + 0 -4 + -1u = -6 Add '4' to each side of the equation. -4 + 4 + -1u = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -1u = -6 + 4 -1u = -6 + 4 Combine like terms: -6 + 4 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2
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