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Simplifying 174 = -6 + -7(3v + 6) Reorder the terms: 174 = -6 + -7(6 + 3v) 174 = -6 + (6 * -7 + 3v * -7) 174 = -6 + (-42 + -21v) Combine like terms: -6 + -42 = -48 174 = -48 + -21v Solving 174 = -48 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. 174 + 21v = -48 + -21v + 21v Combine like terms: -21v + 21v = 0 174 + 21v = -48 + 0 174 + 21v = -48 Add '-174' to each side of the equation. 174 + -174 + 21v = -48 + -174 Combine like terms: 174 + -174 = 0 0 + 21v = -48 + -174 21v = -48 + -174 Combine like terms: -48 + -174 = -222 21v = -222 Divide each side by '21'. v = -10.57142857 Simplifying v = -10.57142857
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