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Simplifying -82 = -6 + -4(-5v + -1) Reorder the terms: -82 = -6 + -4(-1 + -5v) -82 = -6 + (-1 * -4 + -5v * -4) -82 = -6 + (4 + 20v) Combine like terms: -6 + 4 = -2 -82 = -2 + 20v Solving -82 = -2 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -82 + -20v = -2 + 20v + -20v Combine like terms: 20v + -20v = 0 -82 + -20v = -2 + 0 -82 + -20v = -2 Add '82' to each side of the equation. -82 + 82 + -20v = -2 + 82 Combine like terms: -82 + 82 = 0 0 + -20v = -2 + 82 -20v = -2 + 82 Combine like terms: -2 + 82 = 80 -20v = 80 Divide each side by '-20'. v = -4 Simplifying v = -4
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