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Simplifying 7 + 2(7u + -4) = -2(4u + -1) + 4u Reorder the terms: 7 + 2(-4 + 7u) = -2(4u + -1) + 4u 7 + (-4 * 2 + 7u * 2) = -2(4u + -1) + 4u 7 + (-8 + 14u) = -2(4u + -1) + 4u Combine like terms: 7 + -8 = -1 -1 + 14u = -2(4u + -1) + 4u Reorder the terms: -1 + 14u = -2(-1 + 4u) + 4u -1 + 14u = (-1 * -2 + 4u * -2) + 4u -1 + 14u = (2 + -8u) + 4u Combine like terms: -8u + 4u = -4u -1 + 14u = 2 + -4u Solving -1 + 14u = 2 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. -1 + 14u + 4u = 2 + -4u + 4u Combine like terms: 14u + 4u = 18u -1 + 18u = 2 + -4u + 4u Combine like terms: -4u + 4u = 0 -1 + 18u = 2 + 0 -1 + 18u = 2 Add '1' to each side of the equation. -1 + 1 + 18u = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 18u = 2 + 1 18u = 2 + 1 Combine like terms: 2 + 1 = 3 18u = 3 Divide each side by '18'. u = 0.1666666667 Simplifying u = 0.1666666667
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