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Simplifying 6v + 37 = -5(v + -3) Reorder the terms: 37 + 6v = -5(v + -3) Reorder the terms: 37 + 6v = -5(-3 + v) 37 + 6v = (-3 * -5 + v * -5) 37 + 6v = (15 + -5v) Solving 37 + 6v = 15 + -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. 37 + 6v + 5v = 15 + -5v + 5v Combine like terms: 6v + 5v = 11v 37 + 11v = 15 + -5v + 5v Combine like terms: -5v + 5v = 0 37 + 11v = 15 + 0 37 + 11v = 15 Add '-37' to each side of the equation. 37 + -37 + 11v = 15 + -37 Combine like terms: 37 + -37 = 0 0 + 11v = 15 + -37 11v = 15 + -37 Combine like terms: 15 + -37 = -22 11v = -22 Divide each side by '11'. v = -2 Simplifying v = -2
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