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Simplifying 9u + -21 = -8(u + -8) Reorder the terms: -21 + 9u = -8(u + -8) Reorder the terms: -21 + 9u = -8(-8 + u) -21 + 9u = (-8 * -8 + u * -8) -21 + 9u = (64 + -8u) Solving -21 + 9u = 64 + -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. -21 + 9u + 8u = 64 + -8u + 8u Combine like terms: 9u + 8u = 17u -21 + 17u = 64 + -8u + 8u Combine like terms: -8u + 8u = 0 -21 + 17u = 64 + 0 -21 + 17u = 64 Add '21' to each side of the equation. -21 + 21 + 17u = 64 + 21 Combine like terms: -21 + 21 = 0 0 + 17u = 64 + 21 17u = 64 + 21 Combine like terms: 64 + 21 = 85 17u = 85 Divide each side by '17'. u = 5 Simplifying u = 5
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