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Simplifying -8v + -37 = -5(1 + 8v) Reorder the terms: -37 + -8v = -5(1 + 8v) -37 + -8v = (1 * -5 + 8v * -5) -37 + -8v = (-5 + -40v) Solving -37 + -8v = -5 + -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. -37 + -8v + 40v = -5 + -40v + 40v Combine like terms: -8v + 40v = 32v -37 + 32v = -5 + -40v + 40v Combine like terms: -40v + 40v = 0 -37 + 32v = -5 + 0 -37 + 32v = -5 Add '37' to each side of the equation. -37 + 37 + 32v = -5 + 37 Combine like terms: -37 + 37 = 0 0 + 32v = -5 + 37 32v = -5 + 37 Combine like terms: -5 + 37 = 32 32v = 32 Divide each side by '32'. v = 1 Simplifying v = 1
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