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Simplifying 7(1 + -5v) + -6 = 281 (1 * 7 + -5v * 7) + -6 = 281 (7 + -35v) + -6 = 281 Reorder the terms: 7 + -6 + -35v = 281 Combine like terms: 7 + -6 = 1 1 + -35v = 281 Solving 1 + -35v = 281 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -35v = 281 + -1 Combine like terms: 1 + -1 = 0 0 + -35v = 281 + -1 -35v = 281 + -1 Combine like terms: 281 + -1 = 280 -35v = 280 Divide each side by '-35'. v = -8 Simplifying v = -8
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