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Simplifying -7(u + -8) = 6u + -48 Reorder the terms: -7(-8 + u) = 6u + -48 (-8 * -7 + u * -7) = 6u + -48 (56 + -7u) = 6u + -48 Reorder the terms: 56 + -7u = -48 + 6u Solving 56 + -7u = -48 + 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. 56 + -7u + -6u = -48 + 6u + -6u Combine like terms: -7u + -6u = -13u 56 + -13u = -48 + 6u + -6u Combine like terms: 6u + -6u = 0 56 + -13u = -48 + 0 56 + -13u = -48 Add '-56' to each side of the equation. 56 + -56 + -13u = -48 + -56 Combine like terms: 56 + -56 = 0 0 + -13u = -48 + -56 -13u = -48 + -56 Combine like terms: -48 + -56 = -104 -13u = -104 Divide each side by '-13'. u = 8 Simplifying u = 8
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