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Simplifying -8v + 30 = 6v + -2(v + 3) Reorder the terms: 30 + -8v = 6v + -2(v + 3) Reorder the terms: 30 + -8v = 6v + -2(3 + v) 30 + -8v = 6v + (3 * -2 + v * -2) 30 + -8v = 6v + (-6 + -2v) Reorder the terms: 30 + -8v = -6 + 6v + -2v Combine like terms: 6v + -2v = 4v 30 + -8v = -6 + 4v Solving 30 + -8v = -6 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 30 + -8v + -4v = -6 + 4v + -4v Combine like terms: -8v + -4v = -12v 30 + -12v = -6 + 4v + -4v Combine like terms: 4v + -4v = 0 30 + -12v = -6 + 0 30 + -12v = -6 Add '-30' to each side of the equation. 30 + -30 + -12v = -6 + -30 Combine like terms: 30 + -30 = 0 0 + -12v = -6 + -30 -12v = -6 + -30 Combine like terms: -6 + -30 = -36 -12v = -36 Divide each side by '-12'. v = 3 Simplifying v = 3
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