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