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Simplifying -1(1 + 6v) = -3(v + 5) + -4v (1 * -1 + 6v * -1) = -3(v + 5) + -4v (-1 + -6v) = -3(v + 5) + -4v Reorder the terms: -1 + -6v = -3(5 + v) + -4v -1 + -6v = (5 * -3 + v * -3) + -4v -1 + -6v = (-15 + -3v) + -4v Combine like terms: -3v + -4v = -7v -1 + -6v = -15 + -7v Solving -1 + -6v = -15 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -1 + -6v + 7v = -15 + -7v + 7v Combine like terms: -6v + 7v = 1v -1 + 1v = -15 + -7v + 7v Combine like terms: -7v + 7v = 0 -1 + 1v = -15 + 0 -1 + 1v = -15 Add '1' to each side of the equation. -1 + 1 + 1v = -15 + 1 Combine like terms: -1 + 1 = 0 0 + 1v = -15 + 1 1v = -15 + 1 Combine like terms: -15 + 1 = -14 1v = -14 Divide each side by '1'. v = -14 Simplifying v = -14
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