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Simplifying 13 + -1(2v + 3) = 2v + -10 Reorder the terms: 13 + -1(3 + 2v) = 2v + -10 13 + (3 * -1 + 2v * -1) = 2v + -10 13 + (-3 + -2v) = 2v + -10 Combine like terms: 13 + -3 = 10 10 + -2v = 2v + -10 Reorder the terms: 10 + -2v = -10 + 2v Solving 10 + -2v = -10 + 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. 10 + -2v + -2v = -10 + 2v + -2v Combine like terms: -2v + -2v = -4v 10 + -4v = -10 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + -4v = -10 + 0 10 + -4v = -10 Add '-10' to each side of the equation. 10 + -10 + -4v = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4v = -10 + -10 -4v = -10 + -10 Combine like terms: -10 + -10 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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