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Simplifying 5(u + -8) + -4 = -7(-2u + 4) + -34 Reorder the terms: 5(-8 + u) + -4 = -7(-2u + 4) + -34 (-8 * 5 + u * 5) + -4 = -7(-2u + 4) + -34 (-40 + 5u) + -4 = -7(-2u + 4) + -34 Reorder the terms: -40 + -4 + 5u = -7(-2u + 4) + -34 Combine like terms: -40 + -4 = -44 -44 + 5u = -7(-2u + 4) + -34 Reorder the terms: -44 + 5u = -7(4 + -2u) + -34 -44 + 5u = (4 * -7 + -2u * -7) + -34 -44 + 5u = (-28 + 14u) + -34 Reorder the terms: -44 + 5u = -28 + -34 + 14u Combine like terms: -28 + -34 = -62 -44 + 5u = -62 + 14u Solving -44 + 5u = -62 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -44 + 5u + -14u = -62 + 14u + -14u Combine like terms: 5u + -14u = -9u -44 + -9u = -62 + 14u + -14u Combine like terms: 14u + -14u = 0 -44 + -9u = -62 + 0 -44 + -9u = -62 Add '44' to each side of the equation. -44 + 44 + -9u = -62 + 44 Combine like terms: -44 + 44 = 0 0 + -9u = -62 + 44 -9u = -62 + 44 Combine like terms: -62 + 44 = -18 -9u = -18 Divide each side by '-9'. u = 2 Simplifying u = 2
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