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Simplifying 5 + 3(1 + 7v) = -160 5 + (1 * 3 + 7v * 3) = -160 5 + (3 + 21v) = -160 Combine like terms: 5 + 3 = 8 8 + 21v = -160 Solving 8 + 21v = -160 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 21v = -160 + -8 Combine like terms: 8 + -8 = 0 0 + 21v = -160 + -8 21v = -160 + -8 Combine like terms: -160 + -8 = -168 21v = -168 Divide each side by '21'. v = -8 Simplifying v = -8
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