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Simplifying -5(1 + 3v) = -5(1 + 2v) + -6v (1 * -5 + 3v * -5) = -5(1 + 2v) + -6v (-5 + -15v) = -5(1 + 2v) + -6v -5 + -15v = (1 * -5 + 2v * -5) + -6v -5 + -15v = (-5 + -10v) + -6v Combine like terms: -10v + -6v = -16v -5 + -15v = -5 + -16v Add '5' to each side of the equation. -5 + 5 + -15v = -5 + 5 + -16v Combine like terms: -5 + 5 = 0 0 + -15v = -5 + 5 + -16v -15v = -5 + 5 + -16v Combine like terms: -5 + 5 = 0 -15v = 0 + -16v -15v = -16v Solving -15v = -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. -15v + 16v = -16v + 16v Combine like terms: -15v + 16v = 1v 1v = -16v + 16v Combine like terms: -16v + 16v = 0 1v = 0 Divide each side by '1'. v = 0 Simplifying v = 0
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