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Simplifying -7(-3u + 8) + -2u = 5(u + -7) + -5 Reorder the terms: -7(8 + -3u) + -2u = 5(u + -7) + -5 (8 * -7 + -3u * -7) + -2u = 5(u + -7) + -5 (-56 + 21u) + -2u = 5(u + -7) + -5 Combine like terms: 21u + -2u = 19u -56 + 19u = 5(u + -7) + -5 Reorder the terms: -56 + 19u = 5(-7 + u) + -5 -56 + 19u = (-7 * 5 + u * 5) + -5 -56 + 19u = (-35 + 5u) + -5 Reorder the terms: -56 + 19u = -35 + -5 + 5u Combine like terms: -35 + -5 = -40 -56 + 19u = -40 + 5u Solving -56 + 19u = -40 + 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. -56 + 19u + -5u = -40 + 5u + -5u Combine like terms: 19u + -5u = 14u -56 + 14u = -40 + 5u + -5u Combine like terms: 5u + -5u = 0 -56 + 14u = -40 + 0 -56 + 14u = -40 Add '56' to each side of the equation. -56 + 56 + 14u = -40 + 56 Combine like terms: -56 + 56 = 0 0 + 14u = -40 + 56 14u = -40 + 56 Combine like terms: -40 + 56 = 16 14u = 16 Divide each side by '14'. u = 1.142857143 Simplifying u = 1.142857143
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