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Simplifying -97 = -4v + 4(1 + -7v) -97 = -4v + (1 * 4 + -7v * 4) -97 = -4v + (4 + -28v) Reorder the terms: -97 = 4 + -4v + -28v Combine like terms: -4v + -28v = -32v -97 = 4 + -32v Solving -97 = 4 + -32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32v' to each side of the equation. -97 + 32v = 4 + -32v + 32v Combine like terms: -32v + 32v = 0 -97 + 32v = 4 + 0 -97 + 32v = 4 Add '97' to each side of the equation. -97 + 97 + 32v = 4 + 97 Combine like terms: -97 + 97 = 0 0 + 32v = 4 + 97 32v = 4 + 97 Combine like terms: 4 + 97 = 101 32v = 101 Divide each side by '32'. v = 3.15625 Simplifying v = 3.15625
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