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Simplifying -3(u + 5) = 6u + -3 + 3(2u + 2) Reorder the terms: -3(5 + u) = 6u + -3 + 3(2u + 2) (5 * -3 + u * -3) = 6u + -3 + 3(2u + 2) (-15 + -3u) = 6u + -3 + 3(2u + 2) Reorder the terms: -15 + -3u = 6u + -3 + 3(2 + 2u) -15 + -3u = 6u + -3 + (2 * 3 + 2u * 3) -15 + -3u = 6u + -3 + (6 + 6u) Reorder the terms: -15 + -3u = -3 + 6 + 6u + 6u Combine like terms: -3 + 6 = 3 -15 + -3u = 3 + 6u + 6u Combine like terms: 6u + 6u = 12u -15 + -3u = 3 + 12u Solving -15 + -3u = 3 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -15 + -3u + -12u = 3 + 12u + -12u Combine like terms: -3u + -12u = -15u -15 + -15u = 3 + 12u + -12u Combine like terms: 12u + -12u = 0 -15 + -15u = 3 + 0 -15 + -15u = 3 Add '15' to each side of the equation. -15 + 15 + -15u = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -15u = 3 + 15 -15u = 3 + 15 Combine like terms: 3 + 15 = 18 -15u = 18 Divide each side by '-15'. u = -1.2 Simplifying u = -1.2
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