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Simplifying 8 + 4(2u + -2) = -2(6u + -5) + 5u Reorder the terms: 8 + 4(-2 + 2u) = -2(6u + -5) + 5u 8 + (-2 * 4 + 2u * 4) = -2(6u + -5) + 5u 8 + (-8 + 8u) = -2(6u + -5) + 5u Combine like terms: 8 + -8 = 0 0 + 8u = -2(6u + -5) + 5u 8u = -2(6u + -5) + 5u Reorder the terms: 8u = -2(-5 + 6u) + 5u 8u = (-5 * -2 + 6u * -2) + 5u 8u = (10 + -12u) + 5u Combine like terms: -12u + 5u = -7u 8u = 10 + -7u Solving 8u = 10 + -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. 8u + 7u = 10 + -7u + 7u Combine like terms: 8u + 7u = 15u 15u = 10 + -7u + 7u Combine like terms: -7u + 7u = 0 15u = 10 + 0 15u = 10 Divide each side by '15'. u = 0.6666666667 Simplifying u = 0.6666666667
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