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Simplifying 7v + -19 = 2v + 3(v + -7) Reorder the terms: -19 + 7v = 2v + 3(v + -7) Reorder the terms: -19 + 7v = 2v + 3(-7 + v) -19 + 7v = 2v + (-7 * 3 + v * 3) -19 + 7v = 2v + (-21 + 3v) Reorder the terms: -19 + 7v = -21 + 2v + 3v Combine like terms: 2v + 3v = 5v -19 + 7v = -21 + 5v Solving -19 + 7v = -21 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -19 + 7v + -5v = -21 + 5v + -5v Combine like terms: 7v + -5v = 2v -19 + 2v = -21 + 5v + -5v Combine like terms: 5v + -5v = 0 -19 + 2v = -21 + 0 -19 + 2v = -21 Add '19' to each side of the equation. -19 + 19 + 2v = -21 + 19 Combine like terms: -19 + 19 = 0 0 + 2v = -21 + 19 2v = -21 + 19 Combine like terms: -21 + 19 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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