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Simplifying 6u + 8v + -7 + -6u + -4v + 8w = 0 Reorder the terms: -7 + 6u + -6u + 8v + -4v + 8w = 0 Combine like terms: 6u + -6u = 0 -7 + 0 + 8v + -4v + 8w = 0 -7 + 8v + -4v + 8w = 0 Combine like terms: 8v + -4v = 4v -7 + 4v + 8w = 0 Solving -7 + 4v + 8w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 4v + 7 + 8w = 0 + 7 Reorder the terms: -7 + 7 + 4v + 8w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4v + 8w = 0 + 7 4v + 8w = 0 + 7 Combine like terms: 0 + 7 = 7 4v + 8w = 7 Add '-8w' to each side of the equation. 4v + 8w + -8w = 7 + -8w Combine like terms: 8w + -8w = 0 4v + 0 = 7 + -8w 4v = 7 + -8w Divide each side by '4'. v = 1.75 + -2w Simplifying v = 1.75 + -2w
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