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Simplifying 19 + 7v = -3(-2v + -7) Reorder the terms: 19 + 7v = -3(-7 + -2v) 19 + 7v = (-7 * -3 + -2v * -3) 19 + 7v = (21 + 6v) Solving 19 + 7v = 21 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 19 + 7v + -6v = 21 + 6v + -6v Combine like terms: 7v + -6v = 1v 19 + 1v = 21 + 6v + -6v Combine like terms: 6v + -6v = 0 19 + 1v = 21 + 0 19 + 1v = 21 Add '-19' to each side of the equation. 19 + -19 + 1v = 21 + -19 Combine like terms: 19 + -19 = 0 0 + 1v = 21 + -19 1v = 21 + -19 Combine like terms: 21 + -19 = 2 1v = 2 Divide each side by '1'. v = 2 Simplifying v = 2
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