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Simplifying 8(4 + -5v) + -5(1 + -3v) = 2 (4 * 8 + -5v * 8) + -5(1 + -3v) = 2 (32 + -40v) + -5(1 + -3v) = 2 32 + -40v + (1 * -5 + -3v * -5) = 2 32 + -40v + (-5 + 15v) = 2 Reorder the terms: 32 + -5 + -40v + 15v = 2 Combine like terms: 32 + -5 = 27 27 + -40v + 15v = 2 Combine like terms: -40v + 15v = -25v 27 + -25v = 2 Solving 27 + -25v = 2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -25v = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -25v = 2 + -27 -25v = 2 + -27 Combine like terms: 2 + -27 = -25 -25v = -25 Divide each side by '-25'. v = 1 Simplifying v = 1
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