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Simplifying -5v + 7(v + -7) = -53 Reorder the terms: -5v + 7(-7 + v) = -53 -5v + (-7 * 7 + v * 7) = -53 -5v + (-49 + 7v) = -53 Reorder the terms: -49 + -5v + 7v = -53 Combine like terms: -5v + 7v = 2v -49 + 2v = -53 Solving -49 + 2v = -53 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 + 2v = -53 + 49 Combine like terms: -49 + 49 = 0 0 + 2v = -53 + 49 2v = -53 + 49 Combine like terms: -53 + 49 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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