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Simplifying -6 = 2(u + -7) + -6u Reorder the terms: -6 = 2(-7 + u) + -6u -6 = (-7 * 2 + u * 2) + -6u -6 = (-14 + 2u) + -6u Combine like terms: 2u + -6u = -4u -6 = -14 + -4u Solving -6 = -14 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -6 + 4u = -14 + -4u + 4u Combine like terms: -4u + 4u = 0 -6 + 4u = -14 + 0 -6 + 4u = -14 Add '6' to each side of the equation. -6 + 6 + 4u = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 4u = -14 + 6 4u = -14 + 6 Combine like terms: -14 + 6 = -8 4u = -8 Divide each side by '4'. u = -2 Simplifying u = -2
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