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Simplifying -8v + 2(1 + -7v) = -174 -8v + (1 * 2 + -7v * 2) = -174 -8v + (2 + -14v) = -174 Reorder the terms: 2 + -8v + -14v = -174 Combine like terms: -8v + -14v = -22v 2 + -22v = -174 Solving 2 + -22v = -174 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -22v = -174 + -2 Combine like terms: 2 + -2 = 0 0 + -22v = -174 + -2 -22v = -174 + -2 Combine like terms: -174 + -2 = -176 -22v = -176 Divide each side by '-22'. v = 8 Simplifying v = 8
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