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Simplifying -7(u + 5) + 25 = 3(6 + -1u) Reorder the terms: -7(5 + u) + 25 = 3(6 + -1u) (5 * -7 + u * -7) + 25 = 3(6 + -1u) (-35 + -7u) + 25 = 3(6 + -1u) Reorder the terms: -35 + 25 + -7u = 3(6 + -1u) Combine like terms: -35 + 25 = -10 -10 + -7u = 3(6 + -1u) -10 + -7u = (6 * 3 + -1u * 3) -10 + -7u = (18 + -3u) Solving -10 + -7u = 18 + -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. -10 + -7u + 3u = 18 + -3u + 3u Combine like terms: -7u + 3u = -4u -10 + -4u = 18 + -3u + 3u Combine like terms: -3u + 3u = 0 -10 + -4u = 18 + 0 -10 + -4u = 18 Add '10' to each side of the equation. -10 + 10 + -4u = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -4u = 18 + 10 -4u = 18 + 10 Combine like terms: 18 + 10 = 28 -4u = 28 Divide each side by '-4'. u = -7 Simplifying u = -7
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