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Simplifying 8(2u + -4) + -9 = 10u + 7 Reorder the terms: 8(-4 + 2u) + -9 = 10u + 7 (-4 * 8 + 2u * 8) + -9 = 10u + 7 (-32 + 16u) + -9 = 10u + 7 Reorder the terms: -32 + -9 + 16u = 10u + 7 Combine like terms: -32 + -9 = -41 -41 + 16u = 10u + 7 Reorder the terms: -41 + 16u = 7 + 10u Solving -41 + 16u = 7 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -41 + 16u + -10u = 7 + 10u + -10u Combine like terms: 16u + -10u = 6u -41 + 6u = 7 + 10u + -10u Combine like terms: 10u + -10u = 0 -41 + 6u = 7 + 0 -41 + 6u = 7 Add '41' to each side of the equation. -41 + 41 + 6u = 7 + 41 Combine like terms: -41 + 41 = 0 0 + 6u = 7 + 41 6u = 7 + 41 Combine like terms: 7 + 41 = 48 6u = 48 Divide each side by '6'. u = 8 Simplifying u = 8
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