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Simplifying 5 + 2(7u + -6) = -3(2u + -1) + 4u Reorder the terms: 5 + 2(-6 + 7u) = -3(2u + -1) + 4u 5 + (-6 * 2 + 7u * 2) = -3(2u + -1) + 4u 5 + (-12 + 14u) = -3(2u + -1) + 4u Combine like terms: 5 + -12 = -7 -7 + 14u = -3(2u + -1) + 4u Reorder the terms: -7 + 14u = -3(-1 + 2u) + 4u -7 + 14u = (-1 * -3 + 2u * -3) + 4u -7 + 14u = (3 + -6u) + 4u Combine like terms: -6u + 4u = -2u -7 + 14u = 3 + -2u Solving -7 + 14u = 3 + -2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '2u' to each side of the equation. -7 + 14u + 2u = 3 + -2u + 2u Combine like terms: 14u + 2u = 16u -7 + 16u = 3 + -2u + 2u Combine like terms: -2u + 2u = 0 -7 + 16u = 3 + 0 -7 + 16u = 3 Add '7' to each side of the equation. -7 + 7 + 16u = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 16u = 3 + 7 16u = 3 + 7 Combine like terms: 3 + 7 = 10 16u = 10 Divide each side by '16'. u = 0.625 Simplifying u = 0.625
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