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Simplifying 6v + 30 = -5(v + 5) Reorder the terms: 30 + 6v = -5(v + 5) Reorder the terms: 30 + 6v = -5(5 + v) 30 + 6v = (5 * -5 + v * -5) 30 + 6v = (-25 + -5v) Solving 30 + 6v = -25 + -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. 30 + 6v + 5v = -25 + -5v + 5v Combine like terms: 6v + 5v = 11v 30 + 11v = -25 + -5v + 5v Combine like terms: -5v + 5v = 0 30 + 11v = -25 + 0 30 + 11v = -25 Add '-30' to each side of the equation. 30 + -30 + 11v = -25 + -30 Combine like terms: 30 + -30 = 0 0 + 11v = -25 + -30 11v = -25 + -30 Combine like terms: -25 + -30 = -55 11v = -55 Divide each side by '11'. v = -5 Simplifying v = -5
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