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Simplifying 8u + -30 = -6(u + -2) Reorder the terms: -30 + 8u = -6(u + -2) Reorder the terms: -30 + 8u = -6(-2 + u) -30 + 8u = (-2 * -6 + u * -6) -30 + 8u = (12 + -6u) Solving -30 + 8u = 12 + -6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '6u' to each side of the equation. -30 + 8u + 6u = 12 + -6u + 6u Combine like terms: 8u + 6u = 14u -30 + 14u = 12 + -6u + 6u Combine like terms: -6u + 6u = 0 -30 + 14u = 12 + 0 -30 + 14u = 12 Add '30' to each side of the equation. -30 + 30 + 14u = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 14u = 12 + 30 14u = 12 + 30 Combine like terms: 12 + 30 = 42 14u = 42 Divide each side by '14'. u = 3 Simplifying u = 3
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