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Simplifying -1v + -35 = 3 + 8(-5v + 5) + -5 Reorder the terms: -35 + -1v = 3 + 8(-5v + 5) + -5 Reorder the terms: -35 + -1v = 3 + 8(5 + -5v) + -5 -35 + -1v = 3 + (5 * 8 + -5v * 8) + -5 -35 + -1v = 3 + (40 + -40v) + -5 Reorder the terms: -35 + -1v = 3 + 40 + -5 + -40v Combine like terms: 3 + 40 = 43 -35 + -1v = 43 + -5 + -40v Combine like terms: 43 + -5 = 38 -35 + -1v = 38 + -40v Solving -35 + -1v = 38 + -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. -35 + -1v + 40v = 38 + -40v + 40v Combine like terms: -1v + 40v = 39v -35 + 39v = 38 + -40v + 40v Combine like terms: -40v + 40v = 0 -35 + 39v = 38 + 0 -35 + 39v = 38 Add '35' to each side of the equation. -35 + 35 + 39v = 38 + 35 Combine like terms: -35 + 35 = 0 0 + 39v = 38 + 35 39v = 38 + 35 Combine like terms: 38 + 35 = 73 39v = 73 Divide each side by '39'. v = 1.871794872 Simplifying v = 1.871794872
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