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Simplifying -2(3u + -19) + 5(2u + 5) = u + -1(4u + -49) Reorder the terms: -2(-19 + 3u) + 5(2u + 5) = u + -1(4u + -49) (-19 * -2 + 3u * -2) + 5(2u + 5) = u + -1(4u + -49) (38 + -6u) + 5(2u + 5) = u + -1(4u + -49) Reorder the terms: 38 + -6u + 5(5 + 2u) = u + -1(4u + -49) 38 + -6u + (5 * 5 + 2u * 5) = u + -1(4u + -49) 38 + -6u + (25 + 10u) = u + -1(4u + -49) Reorder the terms: 38 + 25 + -6u + 10u = u + -1(4u + -49) Combine like terms: 38 + 25 = 63 63 + -6u + 10u = u + -1(4u + -49) Combine like terms: -6u + 10u = 4u 63 + 4u = u + -1(4u + -49) Reorder the terms: 63 + 4u = u + -1(-49 + 4u) 63 + 4u = u + (-49 * -1 + 4u * -1) 63 + 4u = u + (49 + -4u) Reorder the terms: 63 + 4u = 49 + u + -4u Combine like terms: u + -4u = -3u 63 + 4u = 49 + -3u Solving 63 + 4u = 49 + -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. 63 + 4u + 3u = 49 + -3u + 3u Combine like terms: 4u + 3u = 7u 63 + 7u = 49 + -3u + 3u Combine like terms: -3u + 3u = 0 63 + 7u = 49 + 0 63 + 7u = 49 Add '-63' to each side of the equation. 63 + -63 + 7u = 49 + -63 Combine like terms: 63 + -63 = 0 0 + 7u = 49 + -63 7u = 49 + -63 Combine like terms: 49 + -63 = -14 7u = -14 Divide each side by '7'. u = -2 Simplifying u = -2
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