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Simplifying 5(8v + 11) = 3(6 + v) Reorder the terms: 5(11 + 8v) = 3(6 + v) (11 * 5 + 8v * 5) = 3(6 + v) (55 + 40v) = 3(6 + v) 55 + 40v = (6 * 3 + v * 3) 55 + 40v = (18 + 3v) Solving 55 + 40v = 18 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 55 + 40v + -3v = 18 + 3v + -3v Combine like terms: 40v + -3v = 37v 55 + 37v = 18 + 3v + -3v Combine like terms: 3v + -3v = 0 55 + 37v = 18 + 0 55 + 37v = 18 Add '-55' to each side of the equation. 55 + -55 + 37v = 18 + -55 Combine like terms: 55 + -55 = 0 0 + 37v = 18 + -55 37v = 18 + -55 Combine like terms: 18 + -55 = -37 37v = -37 Divide each side by '37'. v = -1 Simplifying v = -1
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