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Simplifying 3u + -15 = -6(u + -5) Reorder the terms: -15 + 3u = -6(u + -5) Reorder the terms: -15 + 3u = -6(-5 + u) -15 + 3u = (-5 * -6 + u * -6) -15 + 3u = (30 + -6u) Solving -15 + 3u = 30 + -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 + 3u + 6u = 30 + -6u + 6u Combine like terms: 3u + 6u = 9u -15 + 9u = 30 + -6u + 6u Combine like terms: -6u + 6u = 0 -15 + 9u = 30 + 0 -15 + 9u = 30 Add '15' to each side of the equation. -15 + 15 + 9u = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 9u = 30 + 15 9u = 30 + 15 Combine like terms: 30 + 15 = 45 9u = 45 Divide each side by '9'. u = 5 Simplifying u = 5
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