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Simplifying 3(u + -7) + -2 = -3(-9u + 5) + -8u Reorder the terms: 3(-7 + u) + -2 = -3(-9u + 5) + -8u (-7 * 3 + u * 3) + -2 = -3(-9u + 5) + -8u (-21 + 3u) + -2 = -3(-9u + 5) + -8u Reorder the terms: -21 + -2 + 3u = -3(-9u + 5) + -8u Combine like terms: -21 + -2 = -23 -23 + 3u = -3(-9u + 5) + -8u Reorder the terms: -23 + 3u = -3(5 + -9u) + -8u -23 + 3u = (5 * -3 + -9u * -3) + -8u -23 + 3u = (-15 + 27u) + -8u Combine like terms: 27u + -8u = 19u -23 + 3u = -15 + 19u Solving -23 + 3u = -15 + 19u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-19u' to each side of the equation. -23 + 3u + -19u = -15 + 19u + -19u Combine like terms: 3u + -19u = -16u -23 + -16u = -15 + 19u + -19u Combine like terms: 19u + -19u = 0 -23 + -16u = -15 + 0 -23 + -16u = -15 Add '23' to each side of the equation. -23 + 23 + -16u = -15 + 23 Combine like terms: -23 + 23 = 0 0 + -16u = -15 + 23 -16u = -15 + 23 Combine like terms: -15 + 23 = 8 -16u = 8 Divide each side by '-16'. u = -0.5 Simplifying u = -0.5
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