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Simplifying 7 + 3(3u + -3) = -2(2u + -6) + 3u Reorder the terms: 7 + 3(-3 + 3u) = -2(2u + -6) + 3u 7 + (-3 * 3 + 3u * 3) = -2(2u + -6) + 3u 7 + (-9 + 9u) = -2(2u + -6) + 3u Combine like terms: 7 + -9 = -2 -2 + 9u = -2(2u + -6) + 3u Reorder the terms: -2 + 9u = -2(-6 + 2u) + 3u -2 + 9u = (-6 * -2 + 2u * -2) + 3u -2 + 9u = (12 + -4u) + 3u Combine like terms: -4u + 3u = -1u -2 + 9u = 12 + -1u Solving -2 + 9u = 12 + -1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add 'u' to each side of the equation. -2 + 9u + u = 12 + -1u + u Combine like terms: 9u + u = 10u -2 + 10u = 12 + -1u + u Combine like terms: -1u + u = 0 -2 + 10u = 12 + 0 -2 + 10u = 12 Add '2' to each side of the equation. -2 + 2 + 10u = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 10u = 12 + 2 10u = 12 + 2 Combine like terms: 12 + 2 = 14 10u = 14 Divide each side by '10'. u = 1.4 Simplifying u = 1.4
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