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Simplifying 3 = -6v + 3(v + 8) Reorder the terms: 3 = -6v + 3(8 + v) 3 = -6v + (8 * 3 + v * 3) 3 = -6v + (24 + 3v) Reorder the terms: 3 = 24 + -6v + 3v Combine like terms: -6v + 3v = -3v 3 = 24 + -3v Solving 3 = 24 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 3 + 3v = 24 + -3v + 3v Combine like terms: -3v + 3v = 0 3 + 3v = 24 + 0 3 + 3v = 24 Add '-3' to each side of the equation. 3 + -3 + 3v = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3v = 24 + -3 3v = 24 + -3 Combine like terms: 24 + -3 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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