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Simplifying 100 + 7 = 8(2u + -4) + -9 Combine like terms: 100 + 7 = 107 107 = 8(2u + -4) + -9 Reorder the terms: 107 = 8(-4 + 2u) + -9 107 = (-4 * 8 + 2u * 8) + -9 107 = (-32 + 16u) + -9 Reorder the terms: 107 = -32 + -9 + 16u Combine like terms: -32 + -9 = -41 107 = -41 + 16u Solving 107 = -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. 107 + -16u = -41 + 16u + -16u Combine like terms: 16u + -16u = 0 107 + -16u = -41 + 0 107 + -16u = -41 Add '-107' to each side of the equation. 107 + -107 + -16u = -41 + -107 Combine like terms: 107 + -107 = 0 0 + -16u = -41 + -107 -16u = -41 + -107 Combine like terms: -41 + -107 = -148 -16u = -148 Divide each side by '-16'. u = 9.25 Simplifying u = 9.25
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