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Simplifying -2(4v + -8) + 5v = 5 + 3(5v + -1) Reorder the terms: -2(-8 + 4v) + 5v = 5 + 3(5v + -1) (-8 * -2 + 4v * -2) + 5v = 5 + 3(5v + -1) (16 + -8v) + 5v = 5 + 3(5v + -1) Combine like terms: -8v + 5v = -3v 16 + -3v = 5 + 3(5v + -1) Reorder the terms: 16 + -3v = 5 + 3(-1 + 5v) 16 + -3v = 5 + (-1 * 3 + 5v * 3) 16 + -3v = 5 + (-3 + 15v) Combine like terms: 5 + -3 = 2 16 + -3v = 2 + 15v Solving 16 + -3v = 2 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 16 + -3v + -15v = 2 + 15v + -15v Combine like terms: -3v + -15v = -18v 16 + -18v = 2 + 15v + -15v Combine like terms: 15v + -15v = 0 16 + -18v = 2 + 0 16 + -18v = 2 Add '-16' to each side of the equation. 16 + -16 + -18v = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -18v = 2 + -16 -18v = 2 + -16 Combine like terms: 2 + -16 = -14 -18v = -14 Divide each side by '-18'. v = 0.7777777778 Simplifying v = 0.7777777778
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