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Simplifying -5u + 15 = 7(u + -3) Reorder the terms: 15 + -5u = 7(u + -3) Reorder the terms: 15 + -5u = 7(-3 + u) 15 + -5u = (-3 * 7 + u * 7) 15 + -5u = (-21 + 7u) Solving 15 + -5u = -21 + 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 + -5u + -7u = -21 + 7u + -7u Combine like terms: -5u + -7u = -12u 15 + -12u = -21 + 7u + -7u Combine like terms: 7u + -7u = 0 15 + -12u = -21 + 0 15 + -12u = -21 Add '-15' to each side of the equation. 15 + -15 + -12u = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -12u = -21 + -15 -12u = -21 + -15 Combine like terms: -21 + -15 = -36 -12u = -36 Divide each side by '-12'. u = 3 Simplifying u = 3
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