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Simplifying 9u + -47 = -7(u + -7) Reorder the terms: -47 + 9u = -7(u + -7) Reorder the terms: -47 + 9u = -7(-7 + u) -47 + 9u = (-7 * -7 + u * -7) -47 + 9u = (49 + -7u) Solving -47 + 9u = 49 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. -47 + 9u + 7u = 49 + -7u + 7u Combine like terms: 9u + 7u = 16u -47 + 16u = 49 + -7u + 7u Combine like terms: -7u + 7u = 0 -47 + 16u = 49 + 0 -47 + 16u = 49 Add '47' to each side of the equation. -47 + 47 + 16u = 49 + 47 Combine like terms: -47 + 47 = 0 0 + 16u = 49 + 47 16u = 49 + 47 Combine like terms: 49 + 47 = 96 16u = 96 Divide each side by '16'. u = 6 Simplifying u = 6
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