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Simplifying 174 = -6v + -7(3v + 6) Reorder the terms: 174 = -6v + -7(6 + 3v) 174 = -6v + (6 * -7 + 3v * -7) 174 = -6v + (-42 + -21v) Reorder the terms: 174 = -42 + -6v + -21v Combine like terms: -6v + -21v = -27v 174 = -42 + -27v Solving 174 = -42 + -27v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '27v' to each side of the equation. 174 + 27v = -42 + -27v + 27v Combine like terms: -27v + 27v = 0 174 + 27v = -42 + 0 174 + 27v = -42 Add '-174' to each side of the equation. 174 + -174 + 27v = -42 + -174 Combine like terms: 174 + -174 = 0 0 + 27v = -42 + -174 27v = -42 + -174 Combine like terms: -42 + -174 = -216 27v = -216 Divide each side by '27'. v = -8 Simplifying v = -8
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