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Simplifying -37 + 8v = 7(3 + -3v) -37 + 8v = (3 * 7 + -3v * 7) -37 + 8v = (21 + -21v) Solving -37 + 8v = 21 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. -37 + 8v + 21v = 21 + -21v + 21v Combine like terms: 8v + 21v = 29v -37 + 29v = 21 + -21v + 21v Combine like terms: -21v + 21v = 0 -37 + 29v = 21 + 0 -37 + 29v = 21 Add '37' to each side of the equation. -37 + 37 + 29v = 21 + 37 Combine like terms: -37 + 37 = 0 0 + 29v = 21 + 37 29v = 21 + 37 Combine like terms: 21 + 37 = 58 29v = 58 Divide each side by '29'. v = 2 Simplifying v = 2
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