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Simplifying -6 = -2v + 8(v + 3) Reorder the terms: -6 = -2v + 8(3 + v) -6 = -2v + (3 * 8 + v * 8) -6 = -2v + (24 + 8v) Reorder the terms: -6 = 24 + -2v + 8v Combine like terms: -2v + 8v = 6v -6 = 24 + 6v Solving -6 = 24 + 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. -6 + -6v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 -6 + -6v = 24 + 0 -6 + -6v = 24 Add '6' to each side of the equation. -6 + 6 + -6v = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = 24 + 6 -6v = 24 + 6 Combine like terms: 24 + 6 = 30 -6v = 30 Divide each side by '-6'. v = -5 Simplifying v = -5
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