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Simplifying 5v + -38 = 2(7 + -4v) Reorder the terms: -38 + 5v = 2(7 + -4v) -38 + 5v = (7 * 2 + -4v * 2) -38 + 5v = (14 + -8v) Solving -38 + 5v = 14 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -38 + 5v + 8v = 14 + -8v + 8v Combine like terms: 5v + 8v = 13v -38 + 13v = 14 + -8v + 8v Combine like terms: -8v + 8v = 0 -38 + 13v = 14 + 0 -38 + 13v = 14 Add '38' to each side of the equation. -38 + 38 + 13v = 14 + 38 Combine like terms: -38 + 38 = 0 0 + 13v = 14 + 38 13v = 14 + 38 Combine like terms: 14 + 38 = 52 13v = 52 Divide each side by '13'. v = 4 Simplifying v = 4
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