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Simplifying 7u + 2v + -5(7u + -4v + 8w) = 0 7u + 2v + (7u * -5 + -4v * -5 + 8w * -5) = 0 7u + 2v + (-35u + 20v + -40w) = 0 Reorder the terms: 7u + -35u + 2v + 20v + -40w = 0 Combine like terms: 7u + -35u = -28u -28u + 2v + 20v + -40w = 0 Combine like terms: 2v + 20v = 22v -28u + 22v + -40w = 0 Solving -28u + 22v + -40w = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22v' to each side of the equation. -28u + 22v + -22v + -40w = 0 + -22v Combine like terms: 22v + -22v = 0 -28u + 0 + -40w = 0 + -22v -28u + -40w = 0 + -22v Remove the zero: -28u + -40w = -22v Add '40w' to each side of the equation. -28u + -40w + 40w = -22v + 40w Combine like terms: -40w + 40w = 0 -28u + 0 = -22v + 40w -28u = -22v + 40w Divide each side by '-28'. u = 0.7857142857v + -1.428571429w Simplifying u = 0.7857142857v + -1.428571429w
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