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Simplifying -8 + -8(-2v + -6) = -5v + -2 Reorder the terms: -8 + -8(-6 + -2v) = -5v + -2 -8 + (-6 * -8 + -2v * -8) = -5v + -2 -8 + (48 + 16v) = -5v + -2 Combine like terms: -8 + 48 = 40 40 + 16v = -5v + -2 Reorder the terms: 40 + 16v = -2 + -5v Solving 40 + 16v = -2 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 40 + 16v + 5v = -2 + -5v + 5v Combine like terms: 16v + 5v = 21v 40 + 21v = -2 + -5v + 5v Combine like terms: -5v + 5v = 0 40 + 21v = -2 + 0 40 + 21v = -2 Add '-40' to each side of the equation. 40 + -40 + 21v = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 21v = -2 + -40 21v = -2 + -40 Combine like terms: -2 + -40 = -42 21v = -42 Divide each side by '21'. v = -2 Simplifying v = -2
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