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Simplifying 4(u + -2) = 3(2u + -3) Reorder the terms: 4(-2 + u) = 3(2u + -3) (-2 * 4 + u * 4) = 3(2u + -3) (-8 + 4u) = 3(2u + -3) Reorder the terms: -8 + 4u = 3(-3 + 2u) -8 + 4u = (-3 * 3 + 2u * 3) -8 + 4u = (-9 + 6u) Solving -8 + 4u = -9 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -8 + 4u + -6u = -9 + 6u + -6u Combine like terms: 4u + -6u = -2u -8 + -2u = -9 + 6u + -6u Combine like terms: 6u + -6u = 0 -8 + -2u = -9 + 0 -8 + -2u = -9 Add '8' to each side of the equation. -8 + 8 + -2u = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -2u = -9 + 8 -2u = -9 + 8 Combine like terms: -9 + 8 = -1 -2u = -1 Divide each side by '-2'. u = 0.5 Simplifying u = 0.5
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