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Simplifying -4(u + 3) + -3u = 2(u + 3) Reorder the terms: -4(3 + u) + -3u = 2(u + 3) (3 * -4 + u * -4) + -3u = 2(u + 3) (-12 + -4u) + -3u = 2(u + 3) Combine like terms: -4u + -3u = -7u -12 + -7u = 2(u + 3) Reorder the terms: -12 + -7u = 2(3 + u) -12 + -7u = (3 * 2 + u * 2) -12 + -7u = (6 + 2u) Solving -12 + -7u = 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. -12 + -7u + -2u = 6 + 2u + -2u Combine like terms: -7u + -2u = -9u -12 + -9u = 6 + 2u + -2u Combine like terms: 2u + -2u = 0 -12 + -9u = 6 + 0 -12 + -9u = 6 Add '12' to each side of the equation. -12 + 12 + -9u = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9u = 6 + 12 -9u = 6 + 12 Combine like terms: 6 + 12 = 18 -9u = 18 Divide each side by '-9'. u = -2 Simplifying u = -2
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