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Simplifying -6v + 4(v + 7) = 38 Reorder the terms: -6v + 4(7 + v) = 38 -6v + (7 * 4 + v * 4) = 38 -6v + (28 + 4v) = 38 Reorder the terms: 28 + -6v + 4v = 38 Combine like terms: -6v + 4v = -2v 28 + -2v = 38 Solving 28 + -2v = 38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -2v = 38 + -28 Combine like terms: 28 + -28 = 0 0 + -2v = 38 + -28 -2v = 38 + -28 Combine like terms: 38 + -28 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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