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