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Simplifying 9 + 2(2u + -8) = 2(8u + -1) + 5u Reorder the terms: 9 + 2(-8 + 2u) = 2(8u + -1) + 5u 9 + (-8 * 2 + 2u * 2) = 2(8u + -1) + 5u 9 + (-16 + 4u) = 2(8u + -1) + 5u Combine like terms: 9 + -16 = -7 -7 + 4u = 2(8u + -1) + 5u Reorder the terms: -7 + 4u = 2(-1 + 8u) + 5u -7 + 4u = (-1 * 2 + 8u * 2) + 5u -7 + 4u = (-2 + 16u) + 5u Combine like terms: 16u + 5u = 21u -7 + 4u = -2 + 21u Solving -7 + 4u = -2 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -7 + 4u + -21u = -2 + 21u + -21u Combine like terms: 4u + -21u = -17u -7 + -17u = -2 + 21u + -21u Combine like terms: 21u + -21u = 0 -7 + -17u = -2 + 0 -7 + -17u = -2 Add '7' to each side of the equation. -7 + 7 + -17u = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -17u = -2 + 7 -17u = -2 + 7 Combine like terms: -2 + 7 = 5 -17u = 5 Divide each side by '-17'. u = -0.2941176471 Simplifying u = -0.2941176471
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