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Simplifying 5(7v + 8) = 4 + -1v Reorder the terms: 5(8 + 7v) = 4 + -1v (8 * 5 + 7v * 5) = 4 + -1v (40 + 35v) = 4 + -1v Solving 40 + 35v = 4 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 40 + 35v + v = 4 + -1v + v Combine like terms: 35v + v = 36v 40 + 36v = 4 + -1v + v Combine like terms: -1v + v = 0 40 + 36v = 4 + 0 40 + 36v = 4 Add '-40' to each side of the equation. 40 + -40 + 36v = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 36v = 4 + -40 36v = 4 + -40 Combine like terms: 4 + -40 = -36 36v = -36 Divide each side by '36'. v = -1 Simplifying v = -1
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