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Simplifying 5u + -7 = -8(u + 9) Reorder the terms: -7 + 5u = -8(u + 9) Reorder the terms: -7 + 5u = -8(9 + u) -7 + 5u = (9 * -8 + u * -8) -7 + 5u = (-72 + -8u) Solving -7 + 5u = -72 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. -7 + 5u + 8u = -72 + -8u + 8u Combine like terms: 5u + 8u = 13u -7 + 13u = -72 + -8u + 8u Combine like terms: -8u + 8u = 0 -7 + 13u = -72 + 0 -7 + 13u = -72 Add '7' to each side of the equation. -7 + 7 + 13u = -72 + 7 Combine like terms: -7 + 7 = 0 0 + 13u = -72 + 7 13u = -72 + 7 Combine like terms: -72 + 7 = -65 13u = -65 Divide each side by '13'. u = -5 Simplifying u = -5
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