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Simplifying 3(u + -7) + -9 = -4(-5u + 8) + -3u Reorder the terms: 3(-7 + u) + -9 = -4(-5u + 8) + -3u (-7 * 3 + u * 3) + -9 = -4(-5u + 8) + -3u (-21 + 3u) + -9 = -4(-5u + 8) + -3u Reorder the terms: -21 + -9 + 3u = -4(-5u + 8) + -3u Combine like terms: -21 + -9 = -30 -30 + 3u = -4(-5u + 8) + -3u Reorder the terms: -30 + 3u = -4(8 + -5u) + -3u -30 + 3u = (8 * -4 + -5u * -4) + -3u -30 + 3u = (-32 + 20u) + -3u Combine like terms: 20u + -3u = 17u -30 + 3u = -32 + 17u Solving -30 + 3u = -32 + 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. -30 + 3u + -17u = -32 + 17u + -17u Combine like terms: 3u + -17u = -14u -30 + -14u = -32 + 17u + -17u Combine like terms: 17u + -17u = 0 -30 + -14u = -32 + 0 -30 + -14u = -32 Add '30' to each side of the equation. -30 + 30 + -14u = -32 + 30 Combine like terms: -30 + 30 = 0 0 + -14u = -32 + 30 -14u = -32 + 30 Combine like terms: -32 + 30 = -2 -14u = -2 Divide each side by '-14'. u = 0.1428571429 Simplifying u = 0.1428571429
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