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Simplifying -37 + -8v = -7v + -7(1 + v) -37 + -8v = -7v + (1 * -7 + v * -7) -37 + -8v = -7v + (-7 + -7v) Reorder the terms: -37 + -8v = -7 + -7v + -7v Combine like terms: -7v + -7v = -14v -37 + -8v = -7 + -14v Solving -37 + -8v = -7 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -37 + -8v + 14v = -7 + -14v + 14v Combine like terms: -8v + 14v = 6v -37 + 6v = -7 + -14v + 14v Combine like terms: -14v + 14v = 0 -37 + 6v = -7 + 0 -37 + 6v = -7 Add '37' to each side of the equation. -37 + 37 + 6v = -7 + 37 Combine like terms: -37 + 37 = 0 0 + 6v = -7 + 37 6v = -7 + 37 Combine like terms: -7 + 37 = 30 6v = 30 Divide each side by '6'. v = 5 Simplifying v = 5
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