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Simplifying -8v + 19 = -3(v + -2) + -2 Reorder the terms: 19 + -8v = -3(v + -2) + -2 Reorder the terms: 19 + -8v = -3(-2 + v) + -2 19 + -8v = (-2 * -3 + v * -3) + -2 19 + -8v = (6 + -3v) + -2 Reorder the terms: 19 + -8v = 6 + -2 + -3v Combine like terms: 6 + -2 = 4 19 + -8v = 4 + -3v Solving 19 + -8v = 4 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 19 + -8v + 3v = 4 + -3v + 3v Combine like terms: -8v + 3v = -5v 19 + -5v = 4 + -3v + 3v Combine like terms: -3v + 3v = 0 19 + -5v = 4 + 0 19 + -5v = 4 Add '-19' to each side of the equation. 19 + -19 + -5v = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -5v = 4 + -19 -5v = 4 + -19 Combine like terms: 4 + -19 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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