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Simplifying -7(u + 3) = u + -9 + 3(2u + 2) Reorder the terms: -7(3 + u) = u + -9 + 3(2u + 2) (3 * -7 + u * -7) = u + -9 + 3(2u + 2) (-21 + -7u) = u + -9 + 3(2u + 2) Reorder the terms: -21 + -7u = u + -9 + 3(2 + 2u) -21 + -7u = u + -9 + (2 * 3 + 2u * 3) -21 + -7u = u + -9 + (6 + 6u) Reorder the terms: -21 + -7u = -9 + 6 + u + 6u Combine like terms: -9 + 6 = -3 -21 + -7u = -3 + u + 6u Combine like terms: u + 6u = 7u -21 + -7u = -3 + 7u Solving -21 + -7u = -3 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -21 + -7u + -7u = -3 + 7u + -7u Combine like terms: -7u + -7u = -14u -21 + -14u = -3 + 7u + -7u Combine like terms: 7u + -7u = 0 -21 + -14u = -3 + 0 -21 + -14u = -3 Add '21' to each side of the equation. -21 + 21 + -14u = -3 + 21 Combine like terms: -21 + 21 = 0 0 + -14u = -3 + 21 -14u = -3 + 21 Combine like terms: -3 + 21 = 18 -14u = 18 Divide each side by '-14'. u = -1.285714286 Simplifying u = -1.285714286
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