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Simplifying -81 = 4 + -5(1 + 2v) -81 = 4 + (1 * -5 + 2v * -5) -81 = 4 + (-5 + -10v) Combine like terms: 4 + -5 = -1 -81 = -1 + -10v Solving -81 = -1 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -81 + 10v = -1 + -10v + 10v Combine like terms: -10v + 10v = 0 -81 + 10v = -1 + 0 -81 + 10v = -1 Add '81' to each side of the equation. -81 + 81 + 10v = -1 + 81 Combine like terms: -81 + 81 = 0 0 + 10v = -1 + 81 10v = -1 + 81 Combine like terms: -1 + 81 = 80 10v = 80 Divide each side by '10'. v = 8 Simplifying v = 8
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