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Simplifying 4u + -3(u + -7) = 3(u + 11) + (u + 9) + -2u Reorder the terms: 4u + -3(-7 + u) = 3(u + 11) + (u + 9) + -2u 4u + (-7 * -3 + u * -3) = 3(u + 11) + (u + 9) + -2u 4u + (21 + -3u) = 3(u + 11) + (u + 9) + -2u Reorder the terms: 21 + 4u + -3u = 3(u + 11) + (u + 9) + -2u Combine like terms: 4u + -3u = 1u 21 + 1u = 3(u + 11) + (u + 9) + -2u Reorder the terms: 21 + 1u = 3(11 + u) + (u + 9) + -2u 21 + 1u = (11 * 3 + u * 3) + (u + 9) + -2u 21 + 1u = (33 + 3u) + (u + 9) + -2u Reorder the terms: 21 + 1u = 33 + 3u + (9 + u) + -2u Remove parenthesis around (9 + u) 21 + 1u = 33 + 3u + 9 + u + -2u Reorder the terms: 21 + 1u = 33 + 9 + 3u + u + -2u Combine like terms: 33 + 9 = 42 21 + 1u = 42 + 3u + u + -2u Combine like terms: 3u + u = 4u 21 + 1u = 42 + 4u + -2u Combine like terms: 4u + -2u = 2u 21 + 1u = 42 + 2u Solving 21 + 1u = 42 + 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. 21 + 1u + -2u = 42 + 2u + -2u Combine like terms: 1u + -2u = -1u 21 + -1u = 42 + 2u + -2u Combine like terms: 2u + -2u = 0 21 + -1u = 42 + 0 21 + -1u = 42 Add '-21' to each side of the equation. 21 + -21 + -1u = 42 + -21 Combine like terms: 21 + -21 = 0 0 + -1u = 42 + -21 -1u = 42 + -21 Combine like terms: 42 + -21 = 21 -1u = 21 Divide each side by '-1'. u = -21 Simplifying u = -21
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