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Simplifying 5(1 + -2v) = 5(1 + 6v) (1 * 5 + -2v * 5) = 5(1 + 6v) (5 + -10v) = 5(1 + 6v) 5 + -10v = (1 * 5 + 6v * 5) 5 + -10v = (5 + 30v) Add '-5' to each side of the equation. 5 + -5 + -10v = 5 + -5 + 30v Combine like terms: 5 + -5 = 0 0 + -10v = 5 + -5 + 30v -10v = 5 + -5 + 30v Combine like terms: 5 + -5 = 0 -10v = 0 + 30v -10v = 30v Solving -10v = 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. -10v + -30v = 30v + -30v Combine like terms: -10v + -30v = -40v -40v = 30v + -30v Combine like terms: 30v + -30v = 0 -40v = 0 Divide each side by '-40'. v = 0 Simplifying v = 0
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