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Simplifying 5(3v + 7) = 13v + 19 Reorder the terms: 5(7 + 3v) = 13v + 19 (7 * 5 + 3v * 5) = 13v + 19 (35 + 15v) = 13v + 19 Reorder the terms: 35 + 15v = 19 + 13v Solving 35 + 15v = 19 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 35 + 15v + -13v = 19 + 13v + -13v Combine like terms: 15v + -13v = 2v 35 + 2v = 19 + 13v + -13v Combine like terms: 13v + -13v = 0 35 + 2v = 19 + 0 35 + 2v = 19 Add '-35' to each side of the equation. 35 + -35 + 2v = 19 + -35 Combine like terms: 35 + -35 = 0 0 + 2v = 19 + -35 2v = 19 + -35 Combine like terms: 19 + -35 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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