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Simplifying 5(v + -2) + -8v = -19 Reorder the terms: 5(-2 + v) + -8v = -19 (-2 * 5 + v * 5) + -8v = -19 (-10 + 5v) + -8v = -19 Combine like terms: 5v + -8v = -3v -10 + -3v = -19 Solving -10 + -3v = -19 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3v = -19 + 10 Combine like terms: -10 + 10 = 0 0 + -3v = -19 + 10 -3v = -19 + 10 Combine like terms: -19 + 10 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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