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Simplifying 123 = -2v + 3(1 + -6v) 123 = -2v + (1 * 3 + -6v * 3) 123 = -2v + (3 + -18v) Reorder the terms: 123 = 3 + -2v + -18v Combine like terms: -2v + -18v = -20v 123 = 3 + -20v Solving 123 = 3 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 123 + 20v = 3 + -20v + 20v Combine like terms: -20v + 20v = 0 123 + 20v = 3 + 0 123 + 20v = 3 Add '-123' to each side of the equation. 123 + -123 + 20v = 3 + -123 Combine like terms: 123 + -123 = 0 0 + 20v = 3 + -123 20v = 3 + -123 Combine like terms: 3 + -123 = -120 20v = -120 Divide each side by '20'. v = -6 Simplifying v = -6
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