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Simplifying -7(1 + -4v) + -8v = -167 (1 * -7 + -4v * -7) + -8v = -167 (-7 + 28v) + -8v = -167 Combine like terms: 28v + -8v = 20v -7 + 20v = -167 Solving -7 + 20v = -167 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 + 20v = -167 + 7 Combine like terms: -7 + 7 = 0 0 + 20v = -167 + 7 20v = -167 + 7 Combine like terms: -167 + 7 = -160 20v = -160 Divide each side by '20'. v = -8 Simplifying v = -8
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