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Simplifying -2(6u + -1) + 6(3u + 5) = u + -1(4u + 22) Reorder the terms: -2(-1 + 6u) + 6(3u + 5) = u + -1(4u + 22) (-1 * -2 + 6u * -2) + 6(3u + 5) = u + -1(4u + 22) (2 + -12u) + 6(3u + 5) = u + -1(4u + 22) Reorder the terms: 2 + -12u + 6(5 + 3u) = u + -1(4u + 22) 2 + -12u + (5 * 6 + 3u * 6) = u + -1(4u + 22) 2 + -12u + (30 + 18u) = u + -1(4u + 22) Reorder the terms: 2 + 30 + -12u + 18u = u + -1(4u + 22) Combine like terms: 2 + 30 = 32 32 + -12u + 18u = u + -1(4u + 22) Combine like terms: -12u + 18u = 6u 32 + 6u = u + -1(4u + 22) Reorder the terms: 32 + 6u = u + -1(22 + 4u) 32 + 6u = u + (22 * -1 + 4u * -1) 32 + 6u = u + (-22 + -4u) Reorder the terms: 32 + 6u = -22 + u + -4u Combine like terms: u + -4u = -3u 32 + 6u = -22 + -3u Solving 32 + 6u = -22 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 32 + 6u + 3u = -22 + -3u + 3u Combine like terms: 6u + 3u = 9u 32 + 9u = -22 + -3u + 3u Combine like terms: -3u + 3u = 0 32 + 9u = -22 + 0 32 + 9u = -22 Add '-32' to each side of the equation. 32 + -32 + 9u = -22 + -32 Combine like terms: 32 + -32 = 0 0 + 9u = -22 + -32 9u = -22 + -32 Combine like terms: -22 + -32 = -54 9u = -54 Divide each side by '9'. u = -6 Simplifying u = -6
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