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Simplifying 3(u + -2) + -4u = 2(u + -9) Reorder the terms: 3(-2 + u) + -4u = 2(u + -9) (-2 * 3 + u * 3) + -4u = 2(u + -9) (-6 + 3u) + -4u = 2(u + -9) Combine like terms: 3u + -4u = -1u -6 + -1u = 2(u + -9) Reorder the terms: -6 + -1u = 2(-9 + u) -6 + -1u = (-9 * 2 + u * 2) -6 + -1u = (-18 + 2u) Solving -6 + -1u = -18 + 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. -6 + -1u + -2u = -18 + 2u + -2u Combine like terms: -1u + -2u = -3u -6 + -3u = -18 + 2u + -2u Combine like terms: 2u + -2u = 0 -6 + -3u = -18 + 0 -6 + -3u = -18 Add '6' to each side of the equation. -6 + 6 + -3u = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -3u = -18 + 6 -3u = -18 + 6 Combine like terms: -18 + 6 = -12 -3u = -12 Divide each side by '-3'. u = 4 Simplifying u = 4
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