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Simplifying -34 = -5 + 3(v + -9) Reorder the terms: -34 = -5 + 3(-9 + v) -34 = -5 + (-9 * 3 + v * 3) -34 = -5 + (-27 + 3v) Combine like terms: -5 + -27 = -32 -34 = -32 + 3v Solving -34 = -32 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -34 + -3v = -32 + 3v + -3v Combine like terms: 3v + -3v = 0 -34 + -3v = -32 + 0 -34 + -3v = -32 Add '34' to each side of the equation. -34 + 34 + -3v = -32 + 34 Combine like terms: -34 + 34 = 0 0 + -3v = -32 + 34 -3v = -32 + 34 Combine like terms: -32 + 34 = 2 -3v = 2 Divide each side by '-3'. v = -0.6666666667 Simplifying v = -0.6666666667
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