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Simplifying -7v + 5(v + -3) = -19 Reorder the terms: -7v + 5(-3 + v) = -19 -7v + (-3 * 5 + v * 5) = -19 -7v + (-15 + 5v) = -19 Reorder the terms: -15 + -7v + 5v = -19 Combine like terms: -7v + 5v = -2v -15 + -2v = -19 Solving -15 + -2v = -19 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2v = -19 + 15 Combine like terms: -15 + 15 = 0 0 + -2v = -19 + 15 -2v = -19 + 15 Combine like terms: -19 + 15 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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