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Simplifying -2u + 46 = -6(u + -7) Reorder the terms: 46 + -2u = -6(u + -7) Reorder the terms: 46 + -2u = -6(-7 + u) 46 + -2u = (-7 * -6 + u * -6) 46 + -2u = (42 + -6u) Solving 46 + -2u = 42 + -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. 46 + -2u + 6u = 42 + -6u + 6u Combine like terms: -2u + 6u = 4u 46 + 4u = 42 + -6u + 6u Combine like terms: -6u + 6u = 0 46 + 4u = 42 + 0 46 + 4u = 42 Add '-46' to each side of the equation. 46 + -46 + 4u = 42 + -46 Combine like terms: 46 + -46 = 0 0 + 4u = 42 + -46 4u = 42 + -46 Combine like terms: 42 + -46 = -4 4u = -4 Divide each side by '4'. u = -1 Simplifying u = -1
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