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Simplifying 4 + 3(1 + 7v) = -160 4 + (1 * 3 + 7v * 3) = -160 4 + (3 + 21v) = -160 Combine like terms: 4 + 3 = 7 7 + 21v = -160 Solving 7 + 21v = -160 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 21v = -160 + -7 Combine like terms: 7 + -7 = 0 0 + 21v = -160 + -7 21v = -160 + -7 Combine like terms: -160 + -7 = -167 21v = -167 Divide each side by '21'. v = -7.952380952 Simplifying v = -7.952380952
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