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Simplifying -1v + -7(6 + -1v) = -27 + 3v -1v + (6 * -7 + -1v * -7) = -27 + 3v -1v + (-42 + 7v) = -27 + 3v Reorder the terms: -42 + -1v + 7v = -27 + 3v Combine like terms: -1v + 7v = 6v -42 + 6v = -27 + 3v Solving -42 + 6v = -27 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -42 + 6v + -3v = -27 + 3v + -3v Combine like terms: 6v + -3v = 3v -42 + 3v = -27 + 3v + -3v Combine like terms: 3v + -3v = 0 -42 + 3v = -27 + 0 -42 + 3v = -27 Add '42' to each side of the equation. -42 + 42 + 3v = -27 + 42 Combine like terms: -42 + 42 = 0 0 + 3v = -27 + 42 3v = -27 + 42 Combine like terms: -27 + 42 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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