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Simplifying 8(1 + -1v) + 3v = 2(-2v + 1) (1 * 8 + -1v * 8) + 3v = 2(-2v + 1) (8 + -8v) + 3v = 2(-2v + 1) Combine like terms: -8v + 3v = -5v 8 + -5v = 2(-2v + 1) Reorder the terms: 8 + -5v = 2(1 + -2v) 8 + -5v = (1 * 2 + -2v * 2) 8 + -5v = (2 + -4v) Solving 8 + -5v = 2 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 8 + -5v + 4v = 2 + -4v + 4v Combine like terms: -5v + 4v = -1v 8 + -1v = 2 + -4v + 4v Combine like terms: -4v + 4v = 0 8 + -1v = 2 + 0 8 + -1v = 2 Add '-8' to each side of the equation. 8 + -8 + -1v = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 2 + -8 -1v = 2 + -8 Combine like terms: 2 + -8 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6
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