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Simplifying -5 + -2(1 + -4v) = 34 -5 + (1 * -2 + -4v * -2) = 34 -5 + (-2 + 8v) = 34 Combine like terms: -5 + -2 = -7 -7 + 8v = 34 Solving -7 + 8v = 34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8v = 34 + 7 Combine like terms: -7 + 7 = 0 0 + 8v = 34 + 7 8v = 34 + 7 Combine like terms: 34 + 7 = 41 8v = 41 Divide each side by '8'. v = 5.125 Simplifying v = 5.125
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