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Simplifying 2(u + -8) + -3 = -3(-7u + 5) + -3u Reorder the terms: 2(-8 + u) + -3 = -3(-7u + 5) + -3u (-8 * 2 + u * 2) + -3 = -3(-7u + 5) + -3u (-16 + 2u) + -3 = -3(-7u + 5) + -3u Reorder the terms: -16 + -3 + 2u = -3(-7u + 5) + -3u Combine like terms: -16 + -3 = -19 -19 + 2u = -3(-7u + 5) + -3u Reorder the terms: -19 + 2u = -3(5 + -7u) + -3u -19 + 2u = (5 * -3 + -7u * -3) + -3u -19 + 2u = (-15 + 21u) + -3u Combine like terms: 21u + -3u = 18u -19 + 2u = -15 + 18u Solving -19 + 2u = -15 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -19 + 2u + -18u = -15 + 18u + -18u Combine like terms: 2u + -18u = -16u -19 + -16u = -15 + 18u + -18u Combine like terms: 18u + -18u = 0 -19 + -16u = -15 + 0 -19 + -16u = -15 Add '19' to each side of the equation. -19 + 19 + -16u = -15 + 19 Combine like terms: -19 + 19 = 0 0 + -16u = -15 + 19 -16u = -15 + 19 Combine like terms: -15 + 19 = 4 -16u = 4 Divide each side by '-16'. u = -0.25 Simplifying u = -0.25
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