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Simplifying 7v + 4(v + -7) = 38 Reorder the terms: 7v + 4(-7 + v) = 38 7v + (-7 * 4 + v * 4) = 38 7v + (-28 + 4v) = 38 Reorder the terms: -28 + 7v + 4v = 38 Combine like terms: 7v + 4v = 11v -28 + 11v = 38 Solving -28 + 11v = 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 + 11v = 38 + 28 Combine like terms: -28 + 28 = 0 0 + 11v = 38 + 28 11v = 38 + 28 Combine like terms: 38 + 28 = 66 11v = 66 Divide each side by '11'. v = 6 Simplifying v = 6
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