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Simplifying 4v + 7(v + -7) = -38 Reorder the terms: 4v + 7(-7 + v) = -38 4v + (-7 * 7 + v * 7) = -38 4v + (-49 + 7v) = -38 Reorder the terms: -49 + 4v + 7v = -38 Combine like terms: 4v + 7v = 11v -49 + 11v = -38 Solving -49 + 11v = -38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 11v = -38 + 49 Combine like terms: -49 + 49 = 0 0 + 11v = -38 + 49 11v = -38 + 49 Combine like terms: -38 + 49 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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