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Simplifying 280 = 5(7v + -8) + 4(v + 2) Reorder the terms: 280 = 5(-8 + 7v) + 4(v + 2) 280 = (-8 * 5 + 7v * 5) + 4(v + 2) 280 = (-40 + 35v) + 4(v + 2) Reorder the terms: 280 = -40 + 35v + 4(2 + v) 280 = -40 + 35v + (2 * 4 + v * 4) 280 = -40 + 35v + (8 + 4v) Reorder the terms: 280 = -40 + 8 + 35v + 4v Combine like terms: -40 + 8 = -32 280 = -32 + 35v + 4v Combine like terms: 35v + 4v = 39v 280 = -32 + 39v Solving 280 = -32 + 39v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-39v' to each side of the equation. 280 + -39v = -32 + 39v + -39v Combine like terms: 39v + -39v = 0 280 + -39v = -32 + 0 280 + -39v = -32 Add '-280' to each side of the equation. 280 + -280 + -39v = -32 + -280 Combine like terms: 280 + -280 = 0 0 + -39v = -32 + -280 -39v = -32 + -280 Combine like terms: -32 + -280 = -312 -39v = -312 Divide each side by '-39'. v = 8 Simplifying v = 8
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