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Simplifying 2(v + 3v) = w + -5v Combine like terms: v + 3v = 4v 2(4v) = w + -5v Remove parenthesis around (4v) 2 * 4v = w + -5v Multiply 2 * 4 8v = w + -5v Reorder the terms: 8v = -5v + w Solving 8v = -5v + w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 8v + 5v = -5v + 5v + w Combine like terms: 8v + 5v = 13v 13v = -5v + 5v + w Combine like terms: -5v + 5v = 0 13v = 0 + w 13v = w Divide each side by '13'. v = 0.07692307692w Simplifying v = 0.07692307692w
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