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