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Simplifying -9u + -43 = -7(u + 5) Reorder the terms: -43 + -9u = -7(u + 5) Reorder the terms: -43 + -9u = -7(5 + u) -43 + -9u = (5 * -7 + u * -7) -43 + -9u = (-35 + -7u) Solving -43 + -9u = -35 + -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. -43 + -9u + 7u = -35 + -7u + 7u Combine like terms: -9u + 7u = -2u -43 + -2u = -35 + -7u + 7u Combine like terms: -7u + 7u = 0 -43 + -2u = -35 + 0 -43 + -2u = -35 Add '43' to each side of the equation. -43 + 43 + -2u = -35 + 43 Combine like terms: -43 + 43 = 0 0 + -2u = -35 + 43 -2u = -35 + 43 Combine like terms: -35 + 43 = 8 -2u = 8 Divide each side by '-2'. u = -4 Simplifying u = -4
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