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Simplifying 2 + 3u = 4(u + -4) + -3u Reorder the terms: 2 + 3u = 4(-4 + u) + -3u 2 + 3u = (-4 * 4 + u * 4) + -3u 2 + 3u = (-16 + 4u) + -3u Combine like terms: 4u + -3u = 1u 2 + 3u = -16 + 1u Solving 2 + 3u = -16 + 1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. 2 + 3u + -1u = -16 + 1u + -1u Combine like terms: 3u + -1u = 2u 2 + 2u = -16 + 1u + -1u Combine like terms: 1u + -1u = 0 2 + 2u = -16 + 0 2 + 2u = -16 Add '-2' to each side of the equation. 2 + -2 + 2u = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 2u = -16 + -2 2u = -16 + -2 Combine like terms: -16 + -2 = -18 2u = -18 Divide each side by '2'. u = -9 Simplifying u = -9
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