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Simplifying 14v + -12 + 7w + (-4v) = 0 Reorder the terms: -12 + 14v + (-4v) + 7w = 0 Combine like terms: 14v + (-4v) = 10v -12 + 10v + 7w = 0 Solving -12 + 10v + 7w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 10v + 12 + 7w = 0 + 12 Reorder the terms: -12 + 12 + 10v + 7w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 10v + 7w = 0 + 12 10v + 7w = 0 + 12 Combine like terms: 0 + 12 = 12 10v + 7w = 12 Add '-7w' to each side of the equation. 10v + 7w + -7w = 12 + -7w Combine like terms: 7w + -7w = 0 10v + 0 = 12 + -7w 10v = 12 + -7w Divide each side by '10'. v = 1.2 + -0.7w Simplifying v = 1.2 + -0.7w
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