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Simplifying -30 + 20v + -10 = 55 + -55w Reorder the terms: -30 + -10 + 20v = 55 + -55w Combine like terms: -30 + -10 = -40 -40 + 20v = 55 + -55w Solving -40 + 20v = 55 + -55w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 20v = 55 + 40 + -55w Combine like terms: -40 + 40 = 0 0 + 20v = 55 + 40 + -55w 20v = 55 + 40 + -55w Combine like terms: 55 + 40 = 95 20v = 95 + -55w Divide each side by '20'. v = 4.75 + -2.75w Simplifying v = 4.75 + -2.75w
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