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Simplifying 4(3 + -1u) + 1u = 22 + 2u (3 * 4 + -1u * 4) + 1u = 22 + 2u (12 + -4u) + 1u = 22 + 2u Combine like terms: -4u + 1u = -3u 12 + -3u = 22 + 2u Solving 12 + -3u = 22 + 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 + -3u + -2u = 22 + 2u + -2u Combine like terms: -3u + -2u = -5u 12 + -5u = 22 + 2u + -2u Combine like terms: 2u + -2u = 0 12 + -5u = 22 + 0 12 + -5u = 22 Add '-12' to each side of the equation. 12 + -12 + -5u = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -5u = 22 + -12 -5u = 22 + -12 Combine like terms: 22 + -12 = 10 -5u = 10 Divide each side by '-5'. u = -2 Simplifying u = -2
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