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Simplifying -7(9u + -2) + 14u = 7(-9u + -2) Reorder the terms: -7(-2 + 9u) + 14u = 7(-9u + -2) (-2 * -7 + 9u * -7) + 14u = 7(-9u + -2) (14 + -63u) + 14u = 7(-9u + -2) Combine like terms: -63u + 14u = -49u 14 + -49u = 7(-9u + -2) Reorder the terms: 14 + -49u = 7(-2 + -9u) 14 + -49u = (-2 * 7 + -9u * 7) 14 + -49u = (-14 + -63u) Solving 14 + -49u = -14 + -63u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '63u' to each side of the equation. 14 + -49u + 63u = -14 + -63u + 63u Combine like terms: -49u + 63u = 14u 14 + 14u = -14 + -63u + 63u Combine like terms: -63u + 63u = 0 14 + 14u = -14 + 0 14 + 14u = -14 Add '-14' to each side of the equation. 14 + -14 + 14u = -14 + -14 Combine like terms: 14 + -14 = 0 0 + 14u = -14 + -14 14u = -14 + -14 Combine like terms: -14 + -14 = -28 14u = -28 Divide each side by '14'. u = -2 Simplifying u = -2
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