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Simplifying 3(u + -2) = 7u + 3 + -3(-2u + -3) Reorder the terms: 3(-2 + u) = 7u + 3 + -3(-2u + -3) (-2 * 3 + u * 3) = 7u + 3 + -3(-2u + -3) (-6 + 3u) = 7u + 3 + -3(-2u + -3) Reorder the terms: -6 + 3u = 7u + 3 + -3(-3 + -2u) -6 + 3u = 7u + 3 + (-3 * -3 + -2u * -3) -6 + 3u = 7u + 3 + (9 + 6u) Reorder the terms: -6 + 3u = 3 + 9 + 7u + 6u Combine like terms: 3 + 9 = 12 -6 + 3u = 12 + 7u + 6u Combine like terms: 7u + 6u = 13u -6 + 3u = 12 + 13u Solving -6 + 3u = 12 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -6 + 3u + -13u = 12 + 13u + -13u Combine like terms: 3u + -13u = -10u -6 + -10u = 12 + 13u + -13u Combine like terms: 13u + -13u = 0 -6 + -10u = 12 + 0 -6 + -10u = 12 Add '6' to each side of the equation. -6 + 6 + -10u = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -10u = 12 + 6 -10u = 12 + 6 Combine like terms: 12 + 6 = 18 -10u = 18 Divide each side by '-10'. u = -1.8 Simplifying u = -1.8
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