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Simplifying 38 = 4(v + 2) + 6v Reorder the terms: 38 = 4(2 + v) + 6v 38 = (2 * 4 + v * 4) + 6v 38 = (8 + 4v) + 6v Combine like terms: 4v + 6v = 10v 38 = 8 + 10v Solving 38 = 8 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 38 + -10v = 8 + 10v + -10v Combine like terms: 10v + -10v = 0 38 + -10v = 8 + 0 38 + -10v = 8 Add '-38' to each side of the equation. 38 + -38 + -10v = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -10v = 8 + -38 -10v = 8 + -38 Combine like terms: 8 + -38 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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