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Simplifying 3(u + -4) + -4 = -3(-8u + 6) + -7u Reorder the terms: 3(-4 + u) + -4 = -3(-8u + 6) + -7u (-4 * 3 + u * 3) + -4 = -3(-8u + 6) + -7u (-12 + 3u) + -4 = -3(-8u + 6) + -7u Reorder the terms: -12 + -4 + 3u = -3(-8u + 6) + -7u Combine like terms: -12 + -4 = -16 -16 + 3u = -3(-8u + 6) + -7u Reorder the terms: -16 + 3u = -3(6 + -8u) + -7u -16 + 3u = (6 * -3 + -8u * -3) + -7u -16 + 3u = (-18 + 24u) + -7u Combine like terms: 24u + -7u = 17u -16 + 3u = -18 + 17u Solving -16 + 3u = -18 + 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. -16 + 3u + -17u = -18 + 17u + -17u Combine like terms: 3u + -17u = -14u -16 + -14u = -18 + 17u + -17u Combine like terms: 17u + -17u = 0 -16 + -14u = -18 + 0 -16 + -14u = -18 Add '16' to each side of the equation. -16 + 16 + -14u = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -14u = -18 + 16 -14u = -18 + 16 Combine like terms: -18 + 16 = -2 -14u = -2 Divide each side by '-14'. u = 0.1428571429 Simplifying u = 0.1428571429
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