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Simplifying -7v + -1(-14v) + (-9v) + -5v + (-20v) + (-19) = 8 Remove parenthesis around (-14v) -7v + -1 * -14v + (-9v) + -5v + (-20v) + (-19) = 8 Multiply -1 * -14 -7v + 14v + (-9v) + -5v + (-20v) + (-19) = 8 -7v + 14v + (-9v) + -5v + (-20v) + -19 = 8 Reorder the terms: -19 + -7v + 14v + (-9v) + -5v + (-20v) = 8 Combine like terms: -7v + 14v = 7v -19 + 7v + (-9v) + -5v + (-20v) = 8 Combine like terms: 7v + (-9v) = -2v -19 + -2v + -5v + (-20v) = 8 Combine like terms: -2v + -5v = -7v -19 + -7v + (-20v) = 8 Combine like terms: -7v + (-20v) = -27v -19 + -27v = 8 Solving -19 + -27v = 8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -27v = 8 + 19 Combine like terms: -19 + 19 = 0 0 + -27v = 8 + 19 -27v = 8 + 19 Combine like terms: 8 + 19 = 27 -27v = 27 Divide each side by '-27'. v = -1 Simplifying v = -1
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