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Simplifying 3 + 5(3u + -3) = -2(2u + -2) + 5u Reorder the terms: 3 + 5(-3 + 3u) = -2(2u + -2) + 5u 3 + (-3 * 5 + 3u * 5) = -2(2u + -2) + 5u 3 + (-15 + 15u) = -2(2u + -2) + 5u Combine like terms: 3 + -15 = -12 -12 + 15u = -2(2u + -2) + 5u Reorder the terms: -12 + 15u = -2(-2 + 2u) + 5u -12 + 15u = (-2 * -2 + 2u * -2) + 5u -12 + 15u = (4 + -4u) + 5u Combine like terms: -4u + 5u = 1u -12 + 15u = 4 + 1u Solving -12 + 15u = 4 + 1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. -12 + 15u + -1u = 4 + 1u + -1u Combine like terms: 15u + -1u = 14u -12 + 14u = 4 + 1u + -1u Combine like terms: 1u + -1u = 0 -12 + 14u = 4 + 0 -12 + 14u = 4 Add '12' to each side of the equation. -12 + 12 + 14u = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 14u = 4 + 12 14u = 4 + 12 Combine like terms: 4 + 12 = 16 14u = 16 Divide each side by '14'. u = 1.142857143 Simplifying u = 1.142857143
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