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Simplifying -3v + 6(v + 7) = 36 + 2v Reorder the terms: -3v + 6(7 + v) = 36 + 2v -3v + (7 * 6 + v * 6) = 36 + 2v -3v + (42 + 6v) = 36 + 2v Reorder the terms: 42 + -3v + 6v = 36 + 2v Combine like terms: -3v + 6v = 3v 42 + 3v = 36 + 2v Solving 42 + 3v = 36 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 42 + 3v + -2v = 36 + 2v + -2v Combine like terms: 3v + -2v = 1v 42 + 1v = 36 + 2v + -2v Combine like terms: 2v + -2v = 0 42 + 1v = 36 + 0 42 + 1v = 36 Add '-42' to each side of the equation. 42 + -42 + 1v = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 1v = 36 + -42 1v = 36 + -42 Combine like terms: 36 + -42 = -6 1v = -6 Divide each side by '1'. v = -6 Simplifying v = -6
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