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Simplifying 3(u + -3) + -4 = -5(-5u + 4) + -8u Reorder the terms: 3(-3 + u) + -4 = -5(-5u + 4) + -8u (-3 * 3 + u * 3) + -4 = -5(-5u + 4) + -8u (-9 + 3u) + -4 = -5(-5u + 4) + -8u Reorder the terms: -9 + -4 + 3u = -5(-5u + 4) + -8u Combine like terms: -9 + -4 = -13 -13 + 3u = -5(-5u + 4) + -8u Reorder the terms: -13 + 3u = -5(4 + -5u) + -8u -13 + 3u = (4 * -5 + -5u * -5) + -8u -13 + 3u = (-20 + 25u) + -8u Combine like terms: 25u + -8u = 17u -13 + 3u = -20 + 17u Solving -13 + 3u = -20 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -13 + 3u + -17u = -20 + 17u + -17u Combine like terms: 3u + -17u = -14u -13 + -14u = -20 + 17u + -17u Combine like terms: 17u + -17u = 0 -13 + -14u = -20 + 0 -13 + -14u = -20 Add '13' to each side of the equation. -13 + 13 + -14u = -20 + 13 Combine like terms: -13 + 13 = 0 0 + -14u = -20 + 13 -14u = -20 + 13 Combine like terms: -20 + 13 = -7 -14u = -7 Divide each side by '-14'. u = 0.5 Simplifying u = 0.5
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