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Simplifying -21 = 8(u + 3) + 7u Reorder the terms: -21 = 8(3 + u) + 7u -21 = (3 * 8 + u * 8) + 7u -21 = (24 + 8u) + 7u Combine like terms: 8u + 7u = 15u -21 = 24 + 15u Solving -21 = 24 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -21 + -15u = 24 + 15u + -15u Combine like terms: 15u + -15u = 0 -21 + -15u = 24 + 0 -21 + -15u = 24 Add '21' to each side of the equation. -21 + 21 + -15u = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -15u = 24 + 21 -15u = 24 + 21 Combine like terms: 24 + 21 = 45 -15u = 45 Divide each side by '-15'. u = -3 Simplifying u = -3
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