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Simplifying 8u + -22 = -5(u + -6) Reorder the terms: -22 + 8u = -5(u + -6) Reorder the terms: -22 + 8u = -5(-6 + u) -22 + 8u = (-6 * -5 + u * -5) -22 + 8u = (30 + -5u) Solving -22 + 8u = 30 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -22 + 8u + 5u = 30 + -5u + 5u Combine like terms: 8u + 5u = 13u -22 + 13u = 30 + -5u + 5u Combine like terms: -5u + 5u = 0 -22 + 13u = 30 + 0 -22 + 13u = 30 Add '22' to each side of the equation. -22 + 22 + 13u = 30 + 22 Combine like terms: -22 + 22 = 0 0 + 13u = 30 + 22 13u = 30 + 22 Combine like terms: 30 + 22 = 52 13u = 52 Divide each side by '13'. u = 4 Simplifying u = 4
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