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Simplifying -3(u + 2) = (u + 6) + 7 Reorder the terms: -3(2 + u) = (u + 6) + 7 (2 * -3 + u * -3) = (u + 6) + 7 (-6 + -3u) = (u + 6) + 7 Reorder the terms: -6 + -3u = (6 + u) + 7 Remove parenthesis around (6 + u) -6 + -3u = 6 + u + 7 Reorder the terms: -6 + -3u = 6 + 7 + u Combine like terms: 6 + 7 = 13 -6 + -3u = 13 + u Solving -6 + -3u = 13 + u 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. -6 + -3u + -1u = 13 + u + -1u Combine like terms: -3u + -1u = -4u -6 + -4u = 13 + u + -1u Combine like terms: u + -1u = 0 -6 + -4u = 13 + 0 -6 + -4u = 13 Add '6' to each side of the equation. -6 + 6 + -4u = 13 + 6 Combine like terms: -6 + 6 = 0 0 + -4u = 13 + 6 -4u = 13 + 6 Combine like terms: 13 + 6 = 19 -4u = 19 Divide each side by '-4'. u = -4.75 Simplifying u = -4.75
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