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Simplifying -6u + -27 = 7(u + -2) Reorder the terms: -27 + -6u = 7(u + -2) Reorder the terms: -27 + -6u = 7(-2 + u) -27 + -6u = (-2 * 7 + u * 7) -27 + -6u = (-14 + 7u) Solving -27 + -6u = -14 + 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. -27 + -6u + -7u = -14 + 7u + -7u Combine like terms: -6u + -7u = -13u -27 + -13u = -14 + 7u + -7u Combine like terms: 7u + -7u = 0 -27 + -13u = -14 + 0 -27 + -13u = -14 Add '27' to each side of the equation. -27 + 27 + -13u = -14 + 27 Combine like terms: -27 + 27 = 0 0 + -13u = -14 + 27 -13u = -14 + 27 Combine like terms: -14 + 27 = 13 -13u = 13 Divide each side by '-13'. u = -1 Simplifying u = -1
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