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Simplifying 7u + -3 = -6(u + 7) Reorder the terms: -3 + 7u = -6(u + 7) Reorder the terms: -3 + 7u = -6(7 + u) -3 + 7u = (7 * -6 + u * -6) -3 + 7u = (-42 + -6u) Solving -3 + 7u = -42 + -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. -3 + 7u + 6u = -42 + -6u + 6u Combine like terms: 7u + 6u = 13u -3 + 13u = -42 + -6u + 6u Combine like terms: -6u + 6u = 0 -3 + 13u = -42 + 0 -3 + 13u = -42 Add '3' to each side of the equation. -3 + 3 + 13u = -42 + 3 Combine like terms: -3 + 3 = 0 0 + 13u = -42 + 3 13u = -42 + 3 Combine like terms: -42 + 3 = -39 13u = -39 Divide each side by '13'. u = -3 Simplifying u = -3
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