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Simplifying 7u + -47 = 9(u + -5) Reorder the terms: -47 + 7u = 9(u + -5) Reorder the terms: -47 + 7u = 9(-5 + u) -47 + 7u = (-5 * 9 + u * 9) -47 + 7u = (-45 + 9u) Solving -47 + 7u = -45 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -47 + 7u + -9u = -45 + 9u + -9u Combine like terms: 7u + -9u = -2u -47 + -2u = -45 + 9u + -9u Combine like terms: 9u + -9u = 0 -47 + -2u = -45 + 0 -47 + -2u = -45 Add '47' to each side of the equation. -47 + 47 + -2u = -45 + 47 Combine like terms: -47 + 47 = 0 0 + -2u = -45 + 47 -2u = -45 + 47 Combine like terms: -45 + 47 = 2 -2u = 2 Divide each side by '-2'. u = -1 Simplifying u = -1
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