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Simplifying -5u + -31 = -9(u + 7) Reorder the terms: -31 + -5u = -9(u + 7) Reorder the terms: -31 + -5u = -9(7 + u) -31 + -5u = (7 * -9 + u * -9) -31 + -5u = (-63 + -9u) Solving -31 + -5u = -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. -31 + -5u + 9u = -63 + -9u + 9u Combine like terms: -5u + 9u = 4u -31 + 4u = -63 + -9u + 9u Combine like terms: -9u + 9u = 0 -31 + 4u = -63 + 0 -31 + 4u = -63 Add '31' to each side of the equation. -31 + 31 + 4u = -63 + 31 Combine like terms: -31 + 31 = 0 0 + 4u = -63 + 31 4u = -63 + 31 Combine like terms: -63 + 31 = -32 4u = -32 Divide each side by '4'. u = -8 Simplifying u = -8
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