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Simplifying 7(6v + 2) + 2 = 6v + -20 Reorder the terms: 7(2 + 6v) + 2 = 6v + -20 (2 * 7 + 6v * 7) + 2 = 6v + -20 (14 + 42v) + 2 = 6v + -20 Reorder the terms: 14 + 2 + 42v = 6v + -20 Combine like terms: 14 + 2 = 16 16 + 42v = 6v + -20 Reorder the terms: 16 + 42v = -20 + 6v Solving 16 + 42v = -20 + 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. 16 + 42v + -6v = -20 + 6v + -6v Combine like terms: 42v + -6v = 36v 16 + 36v = -20 + 6v + -6v Combine like terms: 6v + -6v = 0 16 + 36v = -20 + 0 16 + 36v = -20 Add '-16' to each side of the equation. 16 + -16 + 36v = -20 + -16 Combine like terms: 16 + -16 = 0 0 + 36v = -20 + -16 36v = -20 + -16 Combine like terms: -20 + -16 = -36 36v = -36 Divide each side by '36'. v = -1 Simplifying v = -1
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