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Simplifying -7(-3u + 3) + -2u = 5(u + -3) + -4 Reorder the terms: -7(3 + -3u) + -2u = 5(u + -3) + -4 (3 * -7 + -3u * -7) + -2u = 5(u + -3) + -4 (-21 + 21u) + -2u = 5(u + -3) + -4 Combine like terms: 21u + -2u = 19u -21 + 19u = 5(u + -3) + -4 Reorder the terms: -21 + 19u = 5(-3 + u) + -4 -21 + 19u = (-3 * 5 + u * 5) + -4 -21 + 19u = (-15 + 5u) + -4 Reorder the terms: -21 + 19u = -15 + -4 + 5u Combine like terms: -15 + -4 = -19 -21 + 19u = -19 + 5u Solving -21 + 19u = -19 + 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. -21 + 19u + -5u = -19 + 5u + -5u Combine like terms: 19u + -5u = 14u -21 + 14u = -19 + 5u + -5u Combine like terms: 5u + -5u = 0 -21 + 14u = -19 + 0 -21 + 14u = -19 Add '21' to each side of the equation. -21 + 21 + 14u = -19 + 21 Combine like terms: -21 + 21 = 0 0 + 14u = -19 + 21 14u = -19 + 21 Combine like terms: -19 + 21 = 2 14u = 2 Divide each side by '14'. u = 0.1428571429 Simplifying u = 0.1428571429
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