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Simplifying 3(u + -7) + 5(u + -4) = 15 Reorder the terms: 3(-7 + u) + 5(u + -4) = 15 (-7 * 3 + u * 3) + 5(u + -4) = 15 (-21 + 3u) + 5(u + -4) = 15 Reorder the terms: -21 + 3u + 5(-4 + u) = 15 -21 + 3u + (-4 * 5 + u * 5) = 15 -21 + 3u + (-20 + 5u) = 15 Reorder the terms: -21 + -20 + 3u + 5u = 15 Combine like terms: -21 + -20 = -41 -41 + 3u + 5u = 15 Combine like terms: 3u + 5u = 8u -41 + 8u = 15 Solving -41 + 8u = 15 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 8u = 15 + 41 Combine like terms: -41 + 41 = 0 0 + 8u = 15 + 41 8u = 15 + 41 Combine like terms: 15 + 41 = 56 8u = 56 Divide each side by '8'. u = 7 Simplifying u = 7
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