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Simplifying (5u + -3) + -9 = -6(-2u + 3) + -3u Reorder the terms: (-3 + 5u) + -9 = -6(-2u + 3) + -3u Remove parenthesis around (-3 + 5u) -3 + 5u + -9 = -6(-2u + 3) + -3u Reorder the terms: -3 + -9 + 5u = -6(-2u + 3) + -3u Combine like terms: -3 + -9 = -12 -12 + 5u = -6(-2u + 3) + -3u Reorder the terms: -12 + 5u = -6(3 + -2u) + -3u -12 + 5u = (3 * -6 + -2u * -6) + -3u -12 + 5u = (-18 + 12u) + -3u Combine like terms: 12u + -3u = 9u -12 + 5u = -18 + 9u Solving -12 + 5u = -18 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -12 + 5u + -9u = -18 + 9u + -9u Combine like terms: 5u + -9u = -4u -12 + -4u = -18 + 9u + -9u Combine like terms: 9u + -9u = 0 -12 + -4u = -18 + 0 -12 + -4u = -18 Add '12' to each side of the equation. -12 + 12 + -4u = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -4u = -18 + 12 -4u = -18 + 12 Combine like terms: -18 + 12 = -6 -4u = -6 Divide each side by '-4'. u = 1.5 Simplifying u = 1.5
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