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Simplifying -8(5v + 2) + -1v = 19 + -6v Reorder the terms: -8(2 + 5v) + -1v = 19 + -6v (2 * -8 + 5v * -8) + -1v = 19 + -6v (-16 + -40v) + -1v = 19 + -6v Combine like terms: -40v + -1v = -41v -16 + -41v = 19 + -6v Solving -16 + -41v = 19 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -16 + -41v + 6v = 19 + -6v + 6v Combine like terms: -41v + 6v = -35v -16 + -35v = 19 + -6v + 6v Combine like terms: -6v + 6v = 0 -16 + -35v = 19 + 0 -16 + -35v = 19 Add '16' to each side of the equation. -16 + 16 + -35v = 19 + 16 Combine like terms: -16 + 16 = 0 0 + -35v = 19 + 16 -35v = 19 + 16 Combine like terms: 19 + 16 = 35 -35v = 35 Divide each side by '-35'. v = -1 Simplifying v = -1
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