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Simplifying 5u + -9 = 3(u + -7) Reorder the terms: -9 + 5u = 3(u + -7) Reorder the terms: -9 + 5u = 3(-7 + u) -9 + 5u = (-7 * 3 + u * 3) -9 + 5u = (-21 + 3u) Solving -9 + 5u = -21 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -9 + 5u + -3u = -21 + 3u + -3u Combine like terms: 5u + -3u = 2u -9 + 2u = -21 + 3u + -3u Combine like terms: 3u + -3u = 0 -9 + 2u = -21 + 0 -9 + 2u = -21 Add '9' to each side of the equation. -9 + 9 + 2u = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 2u = -21 + 9 2u = -21 + 9 Combine like terms: -21 + 9 = -12 2u = -12 Divide each side by '2'. u = -6 Simplifying u = -6
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