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Simplifying -1 = 5(u + 7) + 7u Reorder the terms: -1 = 5(7 + u) + 7u -1 = (7 * 5 + u * 5) + 7u -1 = (35 + 5u) + 7u Combine like terms: 5u + 7u = 12u -1 = 35 + 12u Solving -1 = 35 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -1 + -12u = 35 + 12u + -12u Combine like terms: 12u + -12u = 0 -1 + -12u = 35 + 0 -1 + -12u = 35 Add '1' to each side of the equation. -1 + 1 + -12u = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -12u = 35 + 1 -12u = 35 + 1 Combine like terms: 35 + 1 = 36 -12u = 36 Divide each side by '-12'. u = -3 Simplifying u = -3
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