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Simplifying -2(u + 4) + 6v = 4(u + -3) Reorder the terms: -2(4 + u) + 6v = 4(u + -3) (4 * -2 + u * -2) + 6v = 4(u + -3) (-8 + -2u) + 6v = 4(u + -3) Reorder the terms: -8 + -2u + 6v = 4(-3 + u) -8 + -2u + 6v = (-3 * 4 + u * 4) -8 + -2u + 6v = (-12 + 4u) Solving -8 + -2u + 6v = -12 + 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. -8 + -2u + -4u + 6v = -12 + 4u + -4u Combine like terms: -2u + -4u = -6u -8 + -6u + 6v = -12 + 4u + -4u Combine like terms: 4u + -4u = 0 -8 + -6u + 6v = -12 + 0 -8 + -6u + 6v = -12 Add '8' to each side of the equation. -8 + -6u + 8 + 6v = -12 + 8 Reorder the terms: -8 + 8 + -6u + 6v = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -6u + 6v = -12 + 8 -6u + 6v = -12 + 8 Combine like terms: -12 + 8 = -4 -6u + 6v = -4 Add '-6v' to each side of the equation. -6u + 6v + -6v = -4 + -6v Combine like terms: 6v + -6v = 0 -6u + 0 = -4 + -6v -6u = -4 + -6v Divide each side by '-6'. u = 0.6666666667 + v Simplifying u = 0.6666666667 + v
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