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Simplifying 5(6 + -7v) + -5 = -255 (6 * 5 + -7v * 5) + -5 = -255 (30 + -35v) + -5 = -255 Reorder the terms: 30 + -5 + -35v = -255 Combine like terms: 30 + -5 = 25 25 + -35v = -255 Solving 25 + -35v = -255 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -35v = -255 + -25 Combine like terms: 25 + -25 = 0 0 + -35v = -255 + -25 -35v = -255 + -25 Combine like terms: -255 + -25 = -280 -35v = -280 Divide each side by '-35'. v = 8 Simplifying v = 8
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