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Simplifying 3(7u + -9) = 5(5u + -3) Reorder the terms: 3(-9 + 7u) = 5(5u + -3) (-9 * 3 + 7u * 3) = 5(5u + -3) (-27 + 21u) = 5(5u + -3) Reorder the terms: -27 + 21u = 5(-3 + 5u) -27 + 21u = (-3 * 5 + 5u * 5) -27 + 21u = (-15 + 25u) Solving -27 + 21u = -15 + 25u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-25u' to each side of the equation. -27 + 21u + -25u = -15 + 25u + -25u Combine like terms: 21u + -25u = -4u -27 + -4u = -15 + 25u + -25u Combine like terms: 25u + -25u = 0 -27 + -4u = -15 + 0 -27 + -4u = -15 Add '27' to each side of the equation. -27 + 27 + -4u = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -4u = -15 + 27 -4u = -15 + 27 Combine like terms: -15 + 27 = 12 -4u = 12 Divide each side by '-4'. u = -3 Simplifying u = -3
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