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Simplifying 7 + 2(2u + -8) = -7(2u + -1) + 4u Reorder the terms: 7 + 2(-8 + 2u) = -7(2u + -1) + 4u 7 + (-8 * 2 + 2u * 2) = -7(2u + -1) + 4u 7 + (-16 + 4u) = -7(2u + -1) + 4u Combine like terms: 7 + -16 = -9 -9 + 4u = -7(2u + -1) + 4u Reorder the terms: -9 + 4u = -7(-1 + 2u) + 4u -9 + 4u = (-1 * -7 + 2u * -7) + 4u -9 + 4u = (7 + -14u) + 4u Combine like terms: -14u + 4u = -10u -9 + 4u = 7 + -10u Solving -9 + 4u = 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. -9 + 4u + 10u = 7 + -10u + 10u Combine like terms: 4u + 10u = 14u -9 + 14u = 7 + -10u + 10u Combine like terms: -10u + 10u = 0 -9 + 14u = 7 + 0 -9 + 14u = 7 Add '9' to each side of the equation. -9 + 9 + 14u = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 14u = 7 + 9 14u = 7 + 9 Combine like terms: 7 + 9 = 16 14u = 16 Divide each side by '14'. u = 1.142857143 Simplifying u = 1.142857143
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