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Simplifying -7u + 47 = -3(u + -9) Reorder the terms: 47 + -7u = -3(u + -9) Reorder the terms: 47 + -7u = -3(-9 + u) 47 + -7u = (-9 * -3 + u * -3) 47 + -7u = (27 + -3u) Solving 47 + -7u = 27 + -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. 47 + -7u + 3u = 27 + -3u + 3u Combine like terms: -7u + 3u = -4u 47 + -4u = 27 + -3u + 3u Combine like terms: -3u + 3u = 0 47 + -4u = 27 + 0 47 + -4u = 27 Add '-47' to each side of the equation. 47 + -47 + -4u = 27 + -47 Combine like terms: 47 + -47 = 0 0 + -4u = 27 + -47 -4u = 27 + -47 Combine like terms: 27 + -47 = -20 -4u = -20 Divide each side by '-4'. u = 5 Simplifying u = 5
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