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Simplifying 9v + -7w + -3v + 10 + -10v = 0 Reorder the terms: 10 + 9v + -3v + -10v + -7w = 0 Combine like terms: 9v + -3v = 6v 10 + 6v + -10v + -7w = 0 Combine like terms: 6v + -10v = -4v 10 + -4v + -7w = 0 Solving 10 + -4v + -7w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -4v + -10 + -7w = 0 + -10 Reorder the terms: 10 + -10 + -4v + -7w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4v + -7w = 0 + -10 -4v + -7w = 0 + -10 Combine like terms: 0 + -10 = -10 -4v + -7w = -10 Add '7w' to each side of the equation. -4v + -7w + 7w = -10 + 7w Combine like terms: -7w + 7w = 0 -4v + 0 = -10 + 7w -4v = -10 + 7w Divide each side by '-4'. v = 2.5 + -1.75w Simplifying v = 2.5 + -1.75w
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