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Simplifying -19 = -7(4v + -5) + v Reorder the terms: -19 = -7(-5 + 4v) + v -19 = (-5 * -7 + 4v * -7) + v -19 = (35 + -28v) + v Combine like terms: -28v + v = -27v -19 = 35 + -27v Solving -19 = 35 + -27v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '27v' to each side of the equation. -19 + 27v = 35 + -27v + 27v Combine like terms: -27v + 27v = 0 -19 + 27v = 35 + 0 -19 + 27v = 35 Add '19' to each side of the equation. -19 + 19 + 27v = 35 + 19 Combine like terms: -19 + 19 = 0 0 + 27v = 35 + 19 27v = 35 + 19 Combine like terms: 35 + 19 = 54 27v = 54 Divide each side by '27'. v = 2 Simplifying v = 2
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