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Simplifying 5(u + -5) + -8 = -7(-3u + 3) + -2u Reorder the terms: 5(-5 + u) + -8 = -7(-3u + 3) + -2u (-5 * 5 + u * 5) + -8 = -7(-3u + 3) + -2u (-25 + 5u) + -8 = -7(-3u + 3) + -2u Reorder the terms: -25 + -8 + 5u = -7(-3u + 3) + -2u Combine like terms: -25 + -8 = -33 -33 + 5u = -7(-3u + 3) + -2u Reorder the terms: -33 + 5u = -7(3 + -3u) + -2u -33 + 5u = (3 * -7 + -3u * -7) + -2u -33 + 5u = (-21 + 21u) + -2u Combine like terms: 21u + -2u = 19u -33 + 5u = -21 + 19u Solving -33 + 5u = -21 + 19u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-19u' to each side of the equation. -33 + 5u + -19u = -21 + 19u + -19u Combine like terms: 5u + -19u = -14u -33 + -14u = -21 + 19u + -19u Combine like terms: 19u + -19u = 0 -33 + -14u = -21 + 0 -33 + -14u = -21 Add '33' to each side of the equation. -33 + 33 + -14u = -21 + 33 Combine like terms: -33 + 33 = 0 0 + -14u = -21 + 33 -14u = -21 + 33 Combine like terms: -21 + 33 = 12 -14u = 12 Divide each side by '-14'. u = -0.8571428571 Simplifying u = -0.8571428571
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