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Simplifying 9(1 + -5v) = -7v + 9 (1 * 9 + -5v * 9) = -7v + 9 (9 + -45v) = -7v + 9 Reorder the terms: 9 + -45v = 9 + -7v Add '-9' to each side of the equation. 9 + -9 + -45v = 9 + -9 + -7v Combine like terms: 9 + -9 = 0 0 + -45v = 9 + -9 + -7v -45v = 9 + -9 + -7v Combine like terms: 9 + -9 = 0 -45v = 0 + -7v -45v = -7v Solving -45v = -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. -45v + 7v = -7v + 7v Combine like terms: -45v + 7v = -38v -38v = -7v + 7v Combine like terms: -7v + 7v = 0 -38v = 0 Divide each side by '-38'. v = 0 Simplifying v = 0
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