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Simplifying -2(-7u + 3) + -7u = 3(u + -5) + -9 Reorder the terms: -2(3 + -7u) + -7u = 3(u + -5) + -9 (3 * -2 + -7u * -2) + -7u = 3(u + -5) + -9 (-6 + 14u) + -7u = 3(u + -5) + -9 Combine like terms: 14u + -7u = 7u -6 + 7u = 3(u + -5) + -9 Reorder the terms: -6 + 7u = 3(-5 + u) + -9 -6 + 7u = (-5 * 3 + u * 3) + -9 -6 + 7u = (-15 + 3u) + -9 Reorder the terms: -6 + 7u = -15 + -9 + 3u Combine like terms: -15 + -9 = -24 -6 + 7u = -24 + 3u Solving -6 + 7u = -24 + 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 + 7u + -3u = -24 + 3u + -3u Combine like terms: 7u + -3u = 4u -6 + 4u = -24 + 3u + -3u Combine like terms: 3u + -3u = 0 -6 + 4u = -24 + 0 -6 + 4u = -24 Add '6' to each side of the equation. -6 + 6 + 4u = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 4u = -24 + 6 4u = -24 + 6 Combine like terms: -24 + 6 = -18 4u = -18 Divide each side by '4'. u = -4.5 Simplifying u = -4.5
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