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Simplifying 34 + 2v = -6(7v + 8) Reorder the terms: 34 + 2v = -6(8 + 7v) 34 + 2v = (8 * -6 + 7v * -6) 34 + 2v = (-48 + -42v) Solving 34 + 2v = -48 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. 34 + 2v + 42v = -48 + -42v + 42v Combine like terms: 2v + 42v = 44v 34 + 44v = -48 + -42v + 42v Combine like terms: -42v + 42v = 0 34 + 44v = -48 + 0 34 + 44v = -48 Add '-34' to each side of the equation. 34 + -34 + 44v = -48 + -34 Combine like terms: 34 + -34 = 0 0 + 44v = -48 + -34 44v = -48 + -34 Combine like terms: -48 + -34 = -82 44v = -82 Divide each side by '44'. v = -1.863636364 Simplifying v = -1.863636364
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