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