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Simplifying 5 + 4(1 + -8v) = -7v + 9 5 + (1 * 4 + -8v * 4) = -7v + 9 5 + (4 + -32v) = -7v + 9 Combine like terms: 5 + 4 = 9 9 + -32v = -7v + 9 Reorder the terms: 9 + -32v = 9 + -7v Add '-9' to each side of the equation. 9 + -9 + -32v = 9 + -9 + -7v Combine like terms: 9 + -9 = 0 0 + -32v = 9 + -9 + -7v -32v = 9 + -9 + -7v Combine like terms: 9 + -9 = 0 -32v = 0 + -7v -32v = -7v Solving -32v = -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -32v + 7v = -7v + 7v Combine like terms: -32v + 7v = -25v -25v = -7v + 7v Combine like terms: -7v + 7v = 0 -25v = 0 Divide each side by '-25'. v = 0 Simplifying v = 0
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