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Simplifying 6(u + -7) = -2u + 14 Reorder the terms: 6(-7 + u) = -2u + 14 (-7 * 6 + u * 6) = -2u + 14 (-42 + 6u) = -2u + 14 Reorder the terms: -42 + 6u = 14 + -2u Solving -42 + 6u = 14 + -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. -42 + 6u + 2u = 14 + -2u + 2u Combine like terms: 6u + 2u = 8u -42 + 8u = 14 + -2u + 2u Combine like terms: -2u + 2u = 0 -42 + 8u = 14 + 0 -42 + 8u = 14 Add '42' to each side of the equation. -42 + 42 + 8u = 14 + 42 Combine like terms: -42 + 42 = 0 0 + 8u = 14 + 42 8u = 14 + 42 Combine like terms: 14 + 42 = 56 8u = 56 Divide each side by '8'. u = 7 Simplifying u = 7
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