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Simplifying 5v + -5(1 + 5v) = -105 5v + (1 * -5 + 5v * -5) = -105 5v + (-5 + -25v) = -105 Reorder the terms: -5 + 5v + -25v = -105 Combine like terms: 5v + -25v = -20v -5 + -20v = -105 Solving -5 + -20v = -105 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -20v = -105 + 5 Combine like terms: -5 + 5 = 0 0 + -20v = -105 + 5 -20v = -105 + 5 Combine like terms: -105 + 5 = -100 -20v = -100 Divide each side by '-20'. v = 5 Simplifying v = 5
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