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Simplifying -7(u + -4) = 6u + 41 Reorder the terms: -7(-4 + u) = 6u + 41 (-4 * -7 + u * -7) = 6u + 41 (28 + -7u) = 6u + 41 Reorder the terms: 28 + -7u = 41 + 6u Solving 28 + -7u = 41 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 28 + -7u + -6u = 41 + 6u + -6u Combine like terms: -7u + -6u = -13u 28 + -13u = 41 + 6u + -6u Combine like terms: 6u + -6u = 0 28 + -13u = 41 + 0 28 + -13u = 41 Add '-28' to each side of the equation. 28 + -28 + -13u = 41 + -28 Combine like terms: 28 + -28 = 0 0 + -13u = 41 + -28 -13u = 41 + -28 Combine like terms: 41 + -28 = 13 -13u = 13 Divide each side by '-13'. u = -1 Simplifying u = -1
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