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Simplifying -38 = 6(2 + 4v) + -2(4v + 1) -38 = (2 * 6 + 4v * 6) + -2(4v + 1) -38 = (12 + 24v) + -2(4v + 1) Reorder the terms: -38 = 12 + 24v + -2(1 + 4v) -38 = 12 + 24v + (1 * -2 + 4v * -2) -38 = 12 + 24v + (-2 + -8v) Reorder the terms: -38 = 12 + -2 + 24v + -8v Combine like terms: 12 + -2 = 10 -38 = 10 + 24v + -8v Combine like terms: 24v + -8v = 16v -38 = 10 + 16v Solving -38 = 10 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -38 + -16v = 10 + 16v + -16v Combine like terms: 16v + -16v = 0 -38 + -16v = 10 + 0 -38 + -16v = 10 Add '38' to each side of the equation. -38 + 38 + -16v = 10 + 38 Combine like terms: -38 + 38 = 0 0 + -16v = 10 + 38 -16v = 10 + 38 Combine like terms: 10 + 38 = 48 -16v = 48 Divide each side by '-16'. v = -3 Simplifying v = -3
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