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Simplifying -37 = -8v + 3(v + -4) Reorder the terms: -37 = -8v + 3(-4 + v) -37 = -8v + (-4 * 3 + v * 3) -37 = -8v + (-12 + 3v) Reorder the terms: -37 = -12 + -8v + 3v Combine like terms: -8v + 3v = -5v -37 = -12 + -5v Solving -37 = -12 + -5v 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. -37 + 5v = -12 + -5v + 5v Combine like terms: -5v + 5v = 0 -37 + 5v = -12 + 0 -37 + 5v = -12 Add '37' to each side of the equation. -37 + 37 + 5v = -12 + 37 Combine like terms: -37 + 37 = 0 0 + 5v = -12 + 37 5v = -12 + 37 Combine like terms: -12 + 37 = 25 5v = 25 Divide each side by '5'. v = 5 Simplifying v = 5
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