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Simplifying 2v + 5(1 + -4v) = -2v + 37 2v + (1 * 5 + -4v * 5) = -2v + 37 2v + (5 + -20v) = -2v + 37 Reorder the terms: 5 + 2v + -20v = -2v + 37 Combine like terms: 2v + -20v = -18v 5 + -18v = -2v + 37 Reorder the terms: 5 + -18v = 37 + -2v Solving 5 + -18v = 37 + -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. 5 + -18v + 2v = 37 + -2v + 2v Combine like terms: -18v + 2v = -16v 5 + -16v = 37 + -2v + 2v Combine like terms: -2v + 2v = 0 5 + -16v = 37 + 0 5 + -16v = 37 Add '-5' to each side of the equation. 5 + -5 + -16v = 37 + -5 Combine like terms: 5 + -5 = 0 0 + -16v = 37 + -5 -16v = 37 + -5 Combine like terms: 37 + -5 = 32 -16v = 32 Divide each side by '-16'. v = -2 Simplifying v = -2
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