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Simplifying -5u + 27 = 7(u + -3) Reorder the terms: 27 + -5u = 7(u + -3) Reorder the terms: 27 + -5u = 7(-3 + u) 27 + -5u = (-3 * 7 + u * 7) 27 + -5u = (-21 + 7u) Solving 27 + -5u = -21 + 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 + -5u + -7u = -21 + 7u + -7u Combine like terms: -5u + -7u = -12u 27 + -12u = -21 + 7u + -7u Combine like terms: 7u + -7u = 0 27 + -12u = -21 + 0 27 + -12u = -21 Add '-27' to each side of the equation. 27 + -27 + -12u = -21 + -27 Combine like terms: 27 + -27 = 0 0 + -12u = -21 + -27 -12u = -21 + -27 Combine like terms: -21 + -27 = -48 -12u = -48 Divide each side by '-12'. u = 4 Simplifying u = 4
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