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Simplifying -3u + -5 = -7(u + -1) Reorder the terms: -5 + -3u = -7(u + -1) Reorder the terms: -5 + -3u = -7(-1 + u) -5 + -3u = (-1 * -7 + u * -7) -5 + -3u = (7 + -7u) Solving -5 + -3u = 7 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. -5 + -3u + 7u = 7 + -7u + 7u Combine like terms: -3u + 7u = 4u -5 + 4u = 7 + -7u + 7u Combine like terms: -7u + 7u = 0 -5 + 4u = 7 + 0 -5 + 4u = 7 Add '5' to each side of the equation. -5 + 5 + 4u = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4u = 7 + 5 4u = 7 + 5 Combine like terms: 7 + 5 = 12 4u = 12 Divide each side by '4'. u = 3 Simplifying u = 3
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