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Simplifying -2(v + 8) = -19 + -1v Reorder the terms: -2(8 + v) = -19 + -1v (8 * -2 + v * -2) = -19 + -1v (-16 + -2v) = -19 + -1v Solving -16 + -2v = -19 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -16 + -2v + v = -19 + -1v + v Combine like terms: -2v + v = -1v -16 + -1v = -19 + -1v + v Combine like terms: -1v + v = 0 -16 + -1v = -19 + 0 -16 + -1v = -19 Add '16' to each side of the equation. -16 + 16 + -1v = -19 + 16 Combine like terms: -16 + 16 = 0 0 + -1v = -19 + 16 -1v = -19 + 16 Combine like terms: -19 + 16 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3
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