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Simplifying -7u + -47 = -9(u + 7) Reorder the terms: -47 + -7u = -9(u + 7) Reorder the terms: -47 + -7u = -9(7 + u) -47 + -7u = (7 * -9 + u * -9) -47 + -7u = (-63 + -9u) Solving -47 + -7u = -63 + -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 = -63 + -9u + 9u Combine like terms: -7u + 9u = 2u -47 + 2u = -63 + -9u + 9u Combine like terms: -9u + 9u = 0 -47 + 2u = -63 + 0 -47 + 2u = -63 Add '47' to each side of the equation. -47 + 47 + 2u = -63 + 47 Combine like terms: -47 + 47 = 0 0 + 2u = -63 + 47 2u = -63 + 47 Combine like terms: -63 + 47 = -16 2u = -16 Divide each side by '2'. u = -8 Simplifying u = -8
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