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Simplifying 4v + 7(v + -6) = -97 Reorder the terms: 4v + 7(-6 + v) = -97 4v + (-6 * 7 + v * 7) = -97 4v + (-42 + 7v) = -97 Reorder the terms: -42 + 4v + 7v = -97 Combine like terms: 4v + 7v = 11v -42 + 11v = -97 Solving -42 + 11v = -97 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 + 11v = -97 + 42 Combine like terms: -42 + 42 = 0 0 + 11v = -97 + 42 11v = -97 + 42 Combine like terms: -97 + 42 = -55 11v = -55 Divide each side by '11'. v = -5 Simplifying v = -5
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