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Simplifying 280 = -6v + 8(6v + -7) Reorder the terms: 280 = -6v + 8(-7 + 6v) 280 = -6v + (-7 * 8 + 6v * 8) 280 = -6v + (-56 + 48v) Reorder the terms: 280 = -56 + -6v + 48v Combine like terms: -6v + 48v = 42v 280 = -56 + 42v Solving 280 = -56 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. 280 + -42v = -56 + 42v + -42v Combine like terms: 42v + -42v = 0 280 + -42v = -56 + 0 280 + -42v = -56 Add '-280' to each side of the equation. 280 + -280 + -42v = -56 + -280 Combine like terms: 280 + -280 = 0 0 + -42v = -56 + -280 -42v = -56 + -280 Combine like terms: -56 + -280 = -336 -42v = -336 Divide each side by '-42'. v = 8 Simplifying v = 8
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