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Simplifying 19 + -6v = -5(1 + 2b) + -2v 19 + -6v = (1 * -5 + 2b * -5) + -2v 19 + -6v = (-5 + -10b) + -2v Solving 19 + -6v = -5 + -10b + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 19 + -6v + 2v = -5 + -10b + -2v + 2v Combine like terms: -6v + 2v = -4v 19 + -4v = -5 + -10b + -2v + 2v Combine like terms: -2v + 2v = 0 19 + -4v = -5 + -10b + 0 19 + -4v = -5 + -10b Add '-19' to each side of the equation. 19 + -19 + -4v = -5 + -19 + -10b Combine like terms: 19 + -19 = 0 0 + -4v = -5 + -19 + -10b -4v = -5 + -19 + -10b Combine like terms: -5 + -19 = -24 -4v = -24 + -10b Divide each side by '-4'. v = 6 + 2.5b Simplifying v = 6 + 2.5b
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