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Simplifying 19u + 7 = 8(2u + -4) + -9 Reorder the terms: 7 + 19u = 8(2u + -4) + -9 Reorder the terms: 7 + 19u = 8(-4 + 2u) + -9 7 + 19u = (-4 * 8 + 2u * 8) + -9 7 + 19u = (-32 + 16u) + -9 Reorder the terms: 7 + 19u = -32 + -9 + 16u Combine like terms: -32 + -9 = -41 7 + 19u = -41 + 16u Solving 7 + 19u = -41 + 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. 7 + 19u + -16u = -41 + 16u + -16u Combine like terms: 19u + -16u = 3u 7 + 3u = -41 + 16u + -16u Combine like terms: 16u + -16u = 0 7 + 3u = -41 + 0 7 + 3u = -41 Add '-7' to each side of the equation. 7 + -7 + 3u = -41 + -7 Combine like terms: 7 + -7 = 0 0 + 3u = -41 + -7 3u = -41 + -7 Combine like terms: -41 + -7 = -48 3u = -48 Divide each side by '3'. u = -16 Simplifying u = -16
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