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Simplifying 13 + 3(2v + -5) = 1 + -2(3 + -6v) Reorder the terms: 13 + 3(-5 + 2v) = 1 + -2(3 + -6v) 13 + (-5 * 3 + 2v * 3) = 1 + -2(3 + -6v) 13 + (-15 + 6v) = 1 + -2(3 + -6v) Combine like terms: 13 + -15 = -2 -2 + 6v = 1 + -2(3 + -6v) -2 + 6v = 1 + (3 * -2 + -6v * -2) -2 + 6v = 1 + (-6 + 12v) Combine like terms: 1 + -6 = -5 -2 + 6v = -5 + 12v Solving -2 + 6v = -5 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -2 + 6v + -12v = -5 + 12v + -12v Combine like terms: 6v + -12v = -6v -2 + -6v = -5 + 12v + -12v Combine like terms: 12v + -12v = 0 -2 + -6v = -5 + 0 -2 + -6v = -5 Add '2' to each side of the equation. -2 + 2 + -6v = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -6v = -5 + 2 -6v = -5 + 2 Combine like terms: -5 + 2 = -3 -6v = -3 Divide each side by '-6'. v = 0.5 Simplifying v = 0.5
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