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Simplifying 51 = 7(-1 + 2u) + 2 51 = (-1 * 7 + 2u * 7) + 2 51 = (-7 + 14u) + 2 Reorder the terms: 51 = -7 + 2 + 14u Combine like terms: -7 + 2 = -5 51 = -5 + 14u Solving 51 = -5 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. 51 + -14u = -5 + 14u + -14u Combine like terms: 14u + -14u = 0 51 + -14u = -5 + 0 51 + -14u = -5 Add '-51' to each side of the equation. 51 + -51 + -14u = -5 + -51 Combine like terms: 51 + -51 = 0 0 + -14u = -5 + -51 -14u = -5 + -51 Combine like terms: -5 + -51 = -56 -14u = -56 Divide each side by '-14'. u = 4 Simplifying u = 4
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