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Simplifying 6(v + 5) = -6v + -30 Reorder the terms: 6(5 + v) = -6v + -30 (5 * 6 + v * 6) = -6v + -30 (30 + 6v) = -6v + -30 Reorder the terms: 30 + 6v = -30 + -6v Solving 30 + 6v = -30 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 30 + 6v + 6v = -30 + -6v + 6v Combine like terms: 6v + 6v = 12v 30 + 12v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 30 + 12v = -30 + 0 30 + 12v = -30 Add '-30' to each side of the equation. 30 + -30 + 12v = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 12v = -30 + -30 12v = -30 + -30 Combine like terms: -30 + -30 = -60 12v = -60 Divide each side by '12'. v = -5 Simplifying v = -5
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