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Simplifying 6 + -4(-6v + -4) = -2(1 + -8v) Reorder the terms: 6 + -4(-4 + -6v) = -2(1 + -8v) 6 + (-4 * -4 + -6v * -4) = -2(1 + -8v) 6 + (16 + 24v) = -2(1 + -8v) Combine like terms: 6 + 16 = 22 22 + 24v = -2(1 + -8v) 22 + 24v = (1 * -2 + -8v * -2) 22 + 24v = (-2 + 16v) Solving 22 + 24v = -2 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 22 + 24v + -16v = -2 + 16v + -16v Combine like terms: 24v + -16v = 8v 22 + 8v = -2 + 16v + -16v Combine like terms: 16v + -16v = 0 22 + 8v = -2 + 0 22 + 8v = -2 Add '-22' to each side of the equation. 22 + -22 + 8v = -2 + -22 Combine like terms: 22 + -22 = 0 0 + 8v = -2 + -22 8v = -2 + -22 Combine like terms: -2 + -22 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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