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Simplifying -5(-5u + 3) + -7u = 3(u + -1) + -6 Reorder the terms: -5(3 + -5u) + -7u = 3(u + -1) + -6 (3 * -5 + -5u * -5) + -7u = 3(u + -1) + -6 (-15 + 25u) + -7u = 3(u + -1) + -6 Combine like terms: 25u + -7u = 18u -15 + 18u = 3(u + -1) + -6 Reorder the terms: -15 + 18u = 3(-1 + u) + -6 -15 + 18u = (-1 * 3 + u * 3) + -6 -15 + 18u = (-3 + 3u) + -6 Reorder the terms: -15 + 18u = -3 + -6 + 3u Combine like terms: -3 + -6 = -9 -15 + 18u = -9 + 3u Solving -15 + 18u = -9 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -15 + 18u + -3u = -9 + 3u + -3u Combine like terms: 18u + -3u = 15u -15 + 15u = -9 + 3u + -3u Combine like terms: 3u + -3u = 0 -15 + 15u = -9 + 0 -15 + 15u = -9 Add '15' to each side of the equation. -15 + 15 + 15u = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 15u = -9 + 15 15u = -9 + 15 Combine like terms: -9 + 15 = 6 15u = 6 Divide each side by '15'. u = 0.4 Simplifying u = 0.4
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