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Simplifying 2u + -3 = 5(u + -3) Reorder the terms: -3 + 2u = 5(u + -3) Reorder the terms: -3 + 2u = 5(-3 + u) -3 + 2u = (-3 * 5 + u * 5) -3 + 2u = (-15 + 5u) Solving -3 + 2u = -15 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -3 + 2u + -5u = -15 + 5u + -5u Combine like terms: 2u + -5u = -3u -3 + -3u = -15 + 5u + -5u Combine like terms: 5u + -5u = 0 -3 + -3u = -15 + 0 -3 + -3u = -15 Add '3' to each side of the equation. -3 + 3 + -3u = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -3u = -15 + 3 -3u = -15 + 3 Combine like terms: -15 + 3 = -12 -3u = -12 Divide each side by '-3'. u = 4 Simplifying u = 4
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