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Simplifying 2(u + -1) + -8 = -7(-3u + 4) + -5u Reorder the terms: 2(-1 + u) + -8 = -7(-3u + 4) + -5u (-1 * 2 + u * 2) + -8 = -7(-3u + 4) + -5u (-2 + 2u) + -8 = -7(-3u + 4) + -5u Reorder the terms: -2 + -8 + 2u = -7(-3u + 4) + -5u Combine like terms: -2 + -8 = -10 -10 + 2u = -7(-3u + 4) + -5u Reorder the terms: -10 + 2u = -7(4 + -3u) + -5u -10 + 2u = (4 * -7 + -3u * -7) + -5u -10 + 2u = (-28 + 21u) + -5u Combine like terms: 21u + -5u = 16u -10 + 2u = -28 + 16u Solving -10 + 2u = -28 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -10 + 2u + -16u = -28 + 16u + -16u Combine like terms: 2u + -16u = -14u -10 + -14u = -28 + 16u + -16u Combine like terms: 16u + -16u = 0 -10 + -14u = -28 + 0 -10 + -14u = -28 Add '10' to each side of the equation. -10 + 10 + -14u = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -14u = -28 + 10 -14u = -28 + 10 Combine like terms: -28 + 10 = -18 -14u = -18 Divide each side by '-14'. u = 1.285714286 Simplifying u = 1.285714286
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