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Simplifying 3(v + -2) = 8v + 19 Reorder the terms: 3(-2 + v) = 8v + 19 (-2 * 3 + v * 3) = 8v + 19 (-6 + 3v) = 8v + 19 Reorder the terms: -6 + 3v = 19 + 8v Solving -6 + 3v = 19 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -6 + 3v + -8v = 19 + 8v + -8v Combine like terms: 3v + -8v = -5v -6 + -5v = 19 + 8v + -8v Combine like terms: 8v + -8v = 0 -6 + -5v = 19 + 0 -6 + -5v = 19 Add '6' to each side of the equation. -6 + 6 + -5v = 19 + 6 Combine like terms: -6 + 6 = 0 0 + -5v = 19 + 6 -5v = 19 + 6 Combine like terms: 19 + 6 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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