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Simplifying -4(v + 2) = 5v + 37 Reorder the terms: -4(2 + v) = 5v + 37 (2 * -4 + v * -4) = 5v + 37 (-8 + -4v) = 5v + 37 Reorder the terms: -8 + -4v = 37 + 5v Solving -8 + -4v = 37 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -8 + -4v + -5v = 37 + 5v + -5v Combine like terms: -4v + -5v = -9v -8 + -9v = 37 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + -9v = 37 + 0 -8 + -9v = 37 Add '8' to each side of the equation. -8 + 8 + -9v = 37 + 8 Combine like terms: -8 + 8 = 0 0 + -9v = 37 + 8 -9v = 37 + 8 Combine like terms: 37 + 8 = 45 -9v = 45 Divide each side by '-9'. v = -5 Simplifying v = -5
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