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Simplifying 2v + 20 = 6(v + 8) Reorder the terms: 20 + 2v = 6(v + 8) Reorder the terms: 20 + 2v = 6(8 + v) 20 + 2v = (8 * 6 + v * 6) 20 + 2v = (48 + 6v) Solving 20 + 2v = 48 + 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. 20 + 2v + -6v = 48 + 6v + -6v Combine like terms: 2v + -6v = -4v 20 + -4v = 48 + 6v + -6v Combine like terms: 6v + -6v = 0 20 + -4v = 48 + 0 20 + -4v = 48 Add '-20' to each side of the equation. 20 + -20 + -4v = 48 + -20 Combine like terms: 20 + -20 = 0 0 + -4v = 48 + -20 -4v = 48 + -20 Combine like terms: 48 + -20 = 28 -4v = 28 Divide each side by '-4'. v = -7 Simplifying v = -7
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