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Simplifying 4v + 6(v + -7) = 38 Reorder the terms: 4v + 6(-7 + v) = 38 4v + (-7 * 6 + v * 6) = 38 4v + (-42 + 6v) = 38 Reorder the terms: -42 + 4v + 6v = 38 Combine like terms: 4v + 6v = 10v -42 + 10v = 38 Solving -42 + 10v = 38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 10v = 38 + 42 Combine like terms: -42 + 42 = 0 0 + 10v = 38 + 42 10v = 38 + 42 Combine like terms: 38 + 42 = 80 10v = 80 Divide each side by '10'. v = 8 Simplifying v = 8
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