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Simplifying 2 + 2(4u + -4) = -2(7u + -2) + 7u Reorder the terms: 2 + 2(-4 + 4u) = -2(7u + -2) + 7u 2 + (-4 * 2 + 4u * 2) = -2(7u + -2) + 7u 2 + (-8 + 8u) = -2(7u + -2) + 7u Combine like terms: 2 + -8 = -6 -6 + 8u = -2(7u + -2) + 7u Reorder the terms: -6 + 8u = -2(-2 + 7u) + 7u -6 + 8u = (-2 * -2 + 7u * -2) + 7u -6 + 8u = (4 + -14u) + 7u Combine like terms: -14u + 7u = -7u -6 + 8u = 4 + -7u Solving -6 + 8u = 4 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. -6 + 8u + 7u = 4 + -7u + 7u Combine like terms: 8u + 7u = 15u -6 + 15u = 4 + -7u + 7u Combine like terms: -7u + 7u = 0 -6 + 15u = 4 + 0 -6 + 15u = 4 Add '6' to each side of the equation. -6 + 6 + 15u = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 15u = 4 + 6 15u = 4 + 6 Combine like terms: 4 + 6 = 10 15u = 10 Divide each side by '15'. u = 0.6666666667 Simplifying u = 0.6666666667
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