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Simplifying -6u + 30 = 2(u + -5) Reorder the terms: 30 + -6u = 2(u + -5) Reorder the terms: 30 + -6u = 2(-5 + u) 30 + -6u = (-5 * 2 + u * 2) 30 + -6u = (-10 + 2u) Solving 30 + -6u = -10 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 30 + -6u + -2u = -10 + 2u + -2u Combine like terms: -6u + -2u = -8u 30 + -8u = -10 + 2u + -2u Combine like terms: 2u + -2u = 0 30 + -8u = -10 + 0 30 + -8u = -10 Add '-30' to each side of the equation. 30 + -30 + -8u = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -8u = -10 + -30 -8u = -10 + -30 Combine like terms: -10 + -30 = -40 -8u = -40 Divide each side by '-8'. u = 5 Simplifying u = 5
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