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Simplifying 3(u + -2) + -9 = -3(-6u + 7) + -1u Reorder the terms: 3(-2 + u) + -9 = -3(-6u + 7) + -1u (-2 * 3 + u * 3) + -9 = -3(-6u + 7) + -1u (-6 + 3u) + -9 = -3(-6u + 7) + -1u Reorder the terms: -6 + -9 + 3u = -3(-6u + 7) + -1u Combine like terms: -6 + -9 = -15 -15 + 3u = -3(-6u + 7) + -1u Reorder the terms: -15 + 3u = -3(7 + -6u) + -1u -15 + 3u = (7 * -3 + -6u * -3) + -1u -15 + 3u = (-21 + 18u) + -1u Combine like terms: 18u + -1u = 17u -15 + 3u = -21 + 17u Solving -15 + 3u = -21 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -15 + 3u + -17u = -21 + 17u + -17u Combine like terms: 3u + -17u = -14u -15 + -14u = -21 + 17u + -17u Combine like terms: 17u + -17u = 0 -15 + -14u = -21 + 0 -15 + -14u = -21 Add '15' to each side of the equation. -15 + 15 + -14u = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -14u = -21 + 15 -14u = -21 + 15 Combine like terms: -21 + 15 = -6 -14u = -6 Divide each side by '-14'. u = 0.4285714286 Simplifying u = 0.4285714286
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