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Simplifying u + -13 + 11u + -43 = 7(3u + -8) + -9 Reorder the terms: -13 + -43 + u + 11u = 7(3u + -8) + -9 Combine like terms: -13 + -43 = -56 -56 + u + 11u = 7(3u + -8) + -9 Combine like terms: u + 11u = 12u -56 + 12u = 7(3u + -8) + -9 Reorder the terms: -56 + 12u = 7(-8 + 3u) + -9 -56 + 12u = (-8 * 7 + 3u * 7) + -9 -56 + 12u = (-56 + 21u) + -9 Reorder the terms: -56 + 12u = -56 + -9 + 21u Combine like terms: -56 + -9 = -65 -56 + 12u = -65 + 21u Solving -56 + 12u = -65 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -56 + 12u + -21u = -65 + 21u + -21u Combine like terms: 12u + -21u = -9u -56 + -9u = -65 + 21u + -21u Combine like terms: 21u + -21u = 0 -56 + -9u = -65 + 0 -56 + -9u = -65 Add '56' to each side of the equation. -56 + 56 + -9u = -65 + 56 Combine like terms: -56 + 56 = 0 0 + -9u = -65 + 56 -9u = -65 + 56 Combine like terms: -65 + 56 = -9 -9u = -9 Divide each side by '-9'. u = 1 Simplifying u = 1
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