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Simplifying -2(4v + 5) = -2 + -10w Reorder the terms: -2(5 + 4v) = -2 + -10w (5 * -2 + 4v * -2) = -2 + -10w (-10 + -8v) = -2 + -10w Solving -10 + -8v = -2 + -10w 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 + 10 + -8v = -2 + 10 + -10w Combine like terms: -10 + 10 = 0 0 + -8v = -2 + 10 + -10w -8v = -2 + 10 + -10w Combine like terms: -2 + 10 = 8 -8v = 8 + -10w Divide each side by '-8'. v = -1 + 1.25w Simplifying v = -1 + 1.25w
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