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Simplifying 12 + -1(2v + 7) = 2v + -5 Reorder the terms: 12 + -1(7 + 2v) = 2v + -5 12 + (7 * -1 + 2v * -1) = 2v + -5 12 + (-7 + -2v) = 2v + -5 Combine like terms: 12 + -7 = 5 5 + -2v = 2v + -5 Reorder the terms: 5 + -2v = -5 + 2v Solving 5 + -2v = -5 + 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. 5 + -2v + -2v = -5 + 2v + -2v Combine like terms: -2v + -2v = -4v 5 + -4v = -5 + 2v + -2v Combine like terms: 2v + -2v = 0 5 + -4v = -5 + 0 5 + -4v = -5 Add '-5' to each side of the equation. 5 + -5 + -4v = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = -5 + -5 -4v = -5 + -5 Combine like terms: -5 + -5 = -10 -4v = -10 Divide each side by '-4'. v = 2.5 Simplifying v = 2.5
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