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Simplifying -7u + 45 = 3(u + -5) Reorder the terms: 45 + -7u = 3(u + -5) Reorder the terms: 45 + -7u = 3(-5 + u) 45 + -7u = (-5 * 3 + u * 3) 45 + -7u = (-15 + 3u) Solving 45 + -7u = -15 + 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. 45 + -7u + -3u = -15 + 3u + -3u Combine like terms: -7u + -3u = -10u 45 + -10u = -15 + 3u + -3u Combine like terms: 3u + -3u = 0 45 + -10u = -15 + 0 45 + -10u = -15 Add '-45' to each side of the equation. 45 + -45 + -10u = -15 + -45 Combine like terms: 45 + -45 = 0 0 + -10u = -15 + -45 -10u = -15 + -45 Combine like terms: -15 + -45 = -60 -10u = -60 Divide each side by '-10'. u = 6 Simplifying u = 6
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