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Simplifying -3 = -2u + 7(u + 6) Reorder the terms: -3 = -2u + 7(6 + u) -3 = -2u + (6 * 7 + u * 7) -3 = -2u + (42 + 7u) Reorder the terms: -3 = 42 + -2u + 7u Combine like terms: -2u + 7u = 5u -3 = 42 + 5u Solving -3 = 42 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -3 + -5u = 42 + 5u + -5u Combine like terms: 5u + -5u = 0 -3 + -5u = 42 + 0 -3 + -5u = 42 Add '3' to each side of the equation. -3 + 3 + -5u = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -5u = 42 + 3 -5u = 42 + 3 Combine like terms: 42 + 3 = 45 -5u = 45 Divide each side by '-5'. u = -9 Simplifying u = -9
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