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Simplifying 3(u + -7) + -2 = -5(-4u + 1) + -3u Reorder the terms: 3(-7 + u) + -2 = -5(-4u + 1) + -3u (-7 * 3 + u * 3) + -2 = -5(-4u + 1) + -3u (-21 + 3u) + -2 = -5(-4u + 1) + -3u Reorder the terms: -21 + -2 + 3u = -5(-4u + 1) + -3u Combine like terms: -21 + -2 = -23 -23 + 3u = -5(-4u + 1) + -3u Reorder the terms: -23 + 3u = -5(1 + -4u) + -3u -23 + 3u = (1 * -5 + -4u * -5) + -3u -23 + 3u = (-5 + 20u) + -3u Combine like terms: 20u + -3u = 17u -23 + 3u = -5 + 17u Solving -23 + 3u = -5 + 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. -23 + 3u + -17u = -5 + 17u + -17u Combine like terms: 3u + -17u = -14u -23 + -14u = -5 + 17u + -17u Combine like terms: 17u + -17u = 0 -23 + -14u = -5 + 0 -23 + -14u = -5 Add '23' to each side of the equation. -23 + 23 + -14u = -5 + 23 Combine like terms: -23 + 23 = 0 0 + -14u = -5 + 23 -14u = -5 + 23 Combine like terms: -5 + 23 = 18 -14u = 18 Divide each side by '-14'. u = -1.285714286 Simplifying u = -1.285714286
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