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Simplifying 7(v + 7) = 4v + 19 Reorder the terms: 7(7 + v) = 4v + 19 (7 * 7 + v * 7) = 4v + 19 (49 + 7v) = 4v + 19 Reorder the terms: 49 + 7v = 19 + 4v Solving 49 + 7v = 19 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 49 + 7v + -4v = 19 + 4v + -4v Combine like terms: 7v + -4v = 3v 49 + 3v = 19 + 4v + -4v Combine like terms: 4v + -4v = 0 49 + 3v = 19 + 0 49 + 3v = 19 Add '-49' to each side of the equation. 49 + -49 + 3v = 19 + -49 Combine like terms: 49 + -49 = 0 0 + 3v = 19 + -49 3v = 19 + -49 Combine like terms: 19 + -49 = -30 3v = -30 Divide each side by '3'. v = -10 Simplifying v = -10
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