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Simplifying -7(1 + -3v) = -5v + 19 (1 * -7 + -3v * -7) = -5v + 19 (-7 + 21v) = -5v + 19 Reorder the terms: -7 + 21v = 19 + -5v Solving -7 + 21v = 19 + -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. -7 + 21v + 5v = 19 + -5v + 5v Combine like terms: 21v + 5v = 26v -7 + 26v = 19 + -5v + 5v Combine like terms: -5v + 5v = 0 -7 + 26v = 19 + 0 -7 + 26v = 19 Add '7' to each side of the equation. -7 + 7 + 26v = 19 + 7 Combine like terms: -7 + 7 = 0 0 + 26v = 19 + 7 26v = 19 + 7 Combine like terms: 19 + 7 = 26 26v = 26 Divide each side by '26'. v = 1 Simplifying v = 1
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