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Simplifying -2 + -6v = -8(-5v + 6) Reorder the terms: -2 + -6v = -8(6 + -5v) -2 + -6v = (6 * -8 + -5v * -8) -2 + -6v = (-48 + 40v) Solving -2 + -6v = -48 + 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. -2 + -6v + -40v = -48 + 40v + -40v Combine like terms: -6v + -40v = -46v -2 + -46v = -48 + 40v + -40v Combine like terms: 40v + -40v = 0 -2 + -46v = -48 + 0 -2 + -46v = -48 Add '2' to each side of the equation. -2 + 2 + -46v = -48 + 2 Combine like terms: -2 + 2 = 0 0 + -46v = -48 + 2 -46v = -48 + 2 Combine like terms: -48 + 2 = -46 -46v = -46 Divide each side by '-46'. v = 1 Simplifying v = 1
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