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Simplifying -4(-4 + v) + -5(2v + 5w) = 0 (-4 * -4 + v * -4) + -5(2v + 5w) = 0 (16 + -4v) + -5(2v + 5w) = 0 16 + -4v + (2v * -5 + 5w * -5) = 0 16 + -4v + (-10v + -25w) = 0 Combine like terms: -4v + -10v = -14v 16 + -14v + -25w = 0 Solving 16 + -14v + -25w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -14v + -16 + -25w = 0 + -16 Reorder the terms: 16 + -16 + -14v + -25w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -14v + -25w = 0 + -16 -14v + -25w = 0 + -16 Combine like terms: 0 + -16 = -16 -14v + -25w = -16 Add '25w' to each side of the equation. -14v + -25w + 25w = -16 + 25w Combine like terms: -25w + 25w = 0 -14v + 0 = -16 + 25w -14v = -16 + 25w Divide each side by '-14'. v = 1.142857143 + -1.785714286w Simplifying v = 1.142857143 + -1.785714286w
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