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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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