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Simplifying -37 + -5v = -5(7 + -8v) + -2 -37 + -5v = (7 * -5 + -8v * -5) + -2 -37 + -5v = (-35 + 40v) + -2 Reorder the terms: -37 + -5v = -35 + -2 + 40v Combine like terms: -35 + -2 = -37 -37 + -5v = -37 + 40v Add '37' to each side of the equation. -37 + 37 + -5v = -37 + 37 + 40v Combine like terms: -37 + 37 = 0 0 + -5v = -37 + 37 + 40v -5v = -37 + 37 + 40v Combine like terms: -37 + 37 = 0 -5v = 0 + 40v -5v = 40v Solving -5v = 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. -5v + -40v = 40v + -40v Combine like terms: -5v + -40v = -45v -45v = 40v + -40v Combine like terms: 40v + -40v = 0 -45v = 0 Divide each side by '-45'. v = 0 Simplifying v = 0
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