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Simplifying 5(5u + -3) = 7(9 + -2u) Reorder the terms: 5(-3 + 5u) = 7(9 + -2u) (-3 * 5 + 5u * 5) = 7(9 + -2u) (-15 + 25u) = 7(9 + -2u) -15 + 25u = (9 * 7 + -2u * 7) -15 + 25u = (63 + -14u) Solving -15 + 25u = 63 + -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. -15 + 25u + 14u = 63 + -14u + 14u Combine like terms: 25u + 14u = 39u -15 + 39u = 63 + -14u + 14u Combine like terms: -14u + 14u = 0 -15 + 39u = 63 + 0 -15 + 39u = 63 Add '15' to each side of the equation. -15 + 15 + 39u = 63 + 15 Combine like terms: -15 + 15 = 0 0 + 39u = 63 + 15 39u = 63 + 15 Combine like terms: 63 + 15 = 78 39u = 78 Divide each side by '39'. u = 2 Simplifying u = 2
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