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Simplifying -7(-2 + 9) + -3u = 5(u + -8) + -8 Combine like terms: -2 + 9 = 7 -7(7) + -3u = 5(u + -8) + -8 Multiply -7 * 7 -49 + -3u = 5(u + -8) + -8 Reorder the terms: -49 + -3u = 5(-8 + u) + -8 -49 + -3u = (-8 * 5 + u * 5) + -8 -49 + -3u = (-40 + 5u) + -8 Reorder the terms: -49 + -3u = -40 + -8 + 5u Combine like terms: -40 + -8 = -48 -49 + -3u = -48 + 5u Solving -49 + -3u = -48 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -49 + -3u + -5u = -48 + 5u + -5u Combine like terms: -3u + -5u = -8u -49 + -8u = -48 + 5u + -5u Combine like terms: 5u + -5u = 0 -49 + -8u = -48 + 0 -49 + -8u = -48 Add '49' to each side of the equation. -49 + 49 + -8u = -48 + 49 Combine like terms: -49 + 49 = 0 0 + -8u = -48 + 49 -8u = -48 + 49 Combine like terms: -48 + 49 = 1 -8u = 1 Divide each side by '-8'. u = -0.125 Simplifying u = -0.125
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