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Simplifying -8v + 38 = 3(v + 9) Reorder the terms: 38 + -8v = 3(v + 9) Reorder the terms: 38 + -8v = 3(9 + v) 38 + -8v = (9 * 3 + v * 3) 38 + -8v = (27 + 3v) Solving 38 + -8v = 27 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 38 + -8v + -3v = 27 + 3v + -3v Combine like terms: -8v + -3v = -11v 38 + -11v = 27 + 3v + -3v Combine like terms: 3v + -3v = 0 38 + -11v = 27 + 0 38 + -11v = 27 Add '-38' to each side of the equation. 38 + -38 + -11v = 27 + -38 Combine like terms: 38 + -38 = 0 0 + -11v = 27 + -38 -11v = 27 + -38 Combine like terms: 27 + -38 = -11 -11v = -11 Divide each side by '-11'. v = 1 Simplifying v = 1
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