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Simplifying 7u + -15 = -6(u + -9) Reorder the terms: -15 + 7u = -6(u + -9) Reorder the terms: -15 + 7u = -6(-9 + u) -15 + 7u = (-9 * -6 + u * -6) -15 + 7u = (54 + -6u) Solving -15 + 7u = 54 + -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. -15 + 7u + 6u = 54 + -6u + 6u Combine like terms: 7u + 6u = 13u -15 + 13u = 54 + -6u + 6u Combine like terms: -6u + 6u = 0 -15 + 13u = 54 + 0 -15 + 13u = 54 Add '15' to each side of the equation. -15 + 15 + 13u = 54 + 15 Combine like terms: -15 + 15 = 0 0 + 13u = 54 + 15 13u = 54 + 15 Combine like terms: 54 + 15 = 69 13u = 69 Divide each side by '13'. u = 5.307692308 Simplifying u = 5.307692308
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