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Simplifying -3(u + 5) = 4u + 48 Reorder the terms: -3(5 + u) = 4u + 48 (5 * -3 + u * -3) = 4u + 48 (-15 + -3u) = 4u + 48 Reorder the terms: -15 + -3u = 48 + 4u Solving -15 + -3u = 48 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -15 + -3u + -4u = 48 + 4u + -4u Combine like terms: -3u + -4u = -7u -15 + -7u = 48 + 4u + -4u Combine like terms: 4u + -4u = 0 -15 + -7u = 48 + 0 -15 + -7u = 48 Add '15' to each side of the equation. -15 + 15 + -7u = 48 + 15 Combine like terms: -15 + 15 = 0 0 + -7u = 48 + 15 -7u = 48 + 15 Combine like terms: 48 + 15 = 63 -7u = 63 Divide each side by '-7'. u = -9 Simplifying u = -9
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