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Simplifying -8v + -40 + 3 = -9v + -36 + 4 Reorder the terms: -40 + 3 + -8v = -9v + -36 + 4 Combine like terms: -40 + 3 = -37 -37 + -8v = -9v + -36 + 4 Reorder the terms: -37 + -8v = -36 + 4 + -9v Combine like terms: -36 + 4 = -32 -37 + -8v = -32 + -9v Solving -37 + -8v = -32 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -37 + -8v + 9v = -32 + -9v + 9v Combine like terms: -8v + 9v = 1v -37 + 1v = -32 + -9v + 9v Combine like terms: -9v + 9v = 0 -37 + 1v = -32 + 0 -37 + 1v = -32 Add '37' to each side of the equation. -37 + 37 + 1v = -32 + 37 Combine like terms: -37 + 37 = 0 0 + 1v = -32 + 37 1v = -32 + 37 Combine like terms: -32 + 37 = 5 1v = 5 Divide each side by '1'. v = 5 Simplifying v = 5
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