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Simplifying 7(7u + -8) = 5(u + -9) + 385 Reorder the terms: 7(-8 + 7u) = 5(u + -9) + 385 (-8 * 7 + 7u * 7) = 5(u + -9) + 385 (-56 + 49u) = 5(u + -9) + 385 Reorder the terms: -56 + 49u = 5(-9 + u) + 385 -56 + 49u = (-9 * 5 + u * 5) + 385 -56 + 49u = (-45 + 5u) + 385 Reorder the terms: -56 + 49u = -45 + 385 + 5u Combine like terms: -45 + 385 = 340 -56 + 49u = 340 + 5u Solving -56 + 49u = 340 + 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 + 49u + -5u = 340 + 5u + -5u Combine like terms: 49u + -5u = 44u -56 + 44u = 340 + 5u + -5u Combine like terms: 5u + -5u = 0 -56 + 44u = 340 + 0 -56 + 44u = 340 Add '56' to each side of the equation. -56 + 56 + 44u = 340 + 56 Combine like terms: -56 + 56 = 0 0 + 44u = 340 + 56 44u = 340 + 56 Combine like terms: 340 + 56 = 396 44u = 396 Divide each side by '44'. u = 9 Simplifying u = 9
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