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Simplifying -6u + 15 = 7(u + 4) Reorder the terms: 15 + -6u = 7(u + 4) Reorder the terms: 15 + -6u = 7(4 + u) 15 + -6u = (4 * 7 + u * 7) 15 + -6u = (28 + 7u) Solving 15 + -6u = 28 + 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. 15 + -6u + -7u = 28 + 7u + -7u Combine like terms: -6u + -7u = -13u 15 + -13u = 28 + 7u + -7u Combine like terms: 7u + -7u = 0 15 + -13u = 28 + 0 15 + -13u = 28 Add '-15' to each side of the equation. 15 + -15 + -13u = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -13u = 28 + -15 -13u = 28 + -15 Combine like terms: 28 + -15 = 13 -13u = 13 Divide each side by '-13'. u = -1 Simplifying u = -1
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