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Simplifying 4v + 3(v + -1) = -3(1 + -6v) Reorder the terms: 4v + 3(-1 + v) = -3(1 + -6v) 4v + (-1 * 3 + v * 3) = -3(1 + -6v) 4v + (-3 + 3v) = -3(1 + -6v) Reorder the terms: -3 + 4v + 3v = -3(1 + -6v) Combine like terms: 4v + 3v = 7v -3 + 7v = -3(1 + -6v) -3 + 7v = (1 * -3 + -6v * -3) -3 + 7v = (-3 + 18v) Add '3' to each side of the equation. -3 + 3 + 7v = -3 + 3 + 18v Combine like terms: -3 + 3 = 0 0 + 7v = -3 + 3 + 18v 7v = -3 + 3 + 18v Combine like terms: -3 + 3 = 0 7v = 0 + 18v 7v = 18v Solving 7v = 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. 7v + -18v = 18v + -18v Combine like terms: 7v + -18v = -11v -11v = 18v + -18v Combine like terms: 18v + -18v = 0 -11v = 0 Divide each side by '-11'. v = 0 Simplifying v = 0
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