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Simplifying -205 = -5(1 + 6v) + 5v -205 = (1 * -5 + 6v * -5) + 5v -205 = (-5 + -30v) + 5v Combine like terms: -30v + 5v = -25v -205 = -5 + -25v Solving -205 = -5 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. -205 + 25v = -5 + -25v + 25v Combine like terms: -25v + 25v = 0 -205 + 25v = -5 + 0 -205 + 25v = -5 Add '205' to each side of the equation. -205 + 205 + 25v = -5 + 205 Combine like terms: -205 + 205 = 0 0 + 25v = -5 + 205 25v = -5 + 205 Combine like terms: -5 + 205 = 200 25v = 200 Divide each side by '25'. v = 8 Simplifying v = 8
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