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Simplifying 2(u + -2) + -3u = 2(u + -6) Reorder the terms: 2(-2 + u) + -3u = 2(u + -6) (-2 * 2 + u * 2) + -3u = 2(u + -6) (-4 + 2u) + -3u = 2(u + -6) Combine like terms: 2u + -3u = -1u -4 + -1u = 2(u + -6) Reorder the terms: -4 + -1u = 2(-6 + u) -4 + -1u = (-6 * 2 + u * 2) -4 + -1u = (-12 + 2u) Solving -4 + -1u = -12 + 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 + -1u + -2u = -12 + 2u + -2u Combine like terms: -1u + -2u = -3u -4 + -3u = -12 + 2u + -2u Combine like terms: 2u + -2u = 0 -4 + -3u = -12 + 0 -4 + -3u = -12 Add '4' to each side of the equation. -4 + 4 + -3u = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -3u = -12 + 4 -3u = -12 + 4 Combine like terms: -12 + 4 = -8 -3u = -8 Divide each side by '-3'. u = 2.666666667 Simplifying u = 2.666666667
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