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Simplifying -2(-7u + 3) + -5u = 3(u + -5) + -1 Reorder the terms: -2(3 + -7u) + -5u = 3(u + -5) + -1 (3 * -2 + -7u * -2) + -5u = 3(u + -5) + -1 (-6 + 14u) + -5u = 3(u + -5) + -1 Combine like terms: 14u + -5u = 9u -6 + 9u = 3(u + -5) + -1 Reorder the terms: -6 + 9u = 3(-5 + u) + -1 -6 + 9u = (-5 * 3 + u * 3) + -1 -6 + 9u = (-15 + 3u) + -1 Reorder the terms: -6 + 9u = -15 + -1 + 3u Combine like terms: -15 + -1 = -16 -6 + 9u = -16 + 3u Solving -6 + 9u = -16 + 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. -6 + 9u + -3u = -16 + 3u + -3u Combine like terms: 9u + -3u = 6u -6 + 6u = -16 + 3u + -3u Combine like terms: 3u + -3u = 0 -6 + 6u = -16 + 0 -6 + 6u = -16 Add '6' to each side of the equation. -6 + 6 + 6u = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 6u = -16 + 6 6u = -16 + 6 Combine like terms: -16 + 6 = -10 6u = -10 Divide each side by '6'. u = -1.666666667 Simplifying u = -1.666666667
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