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Simplifying -12v + -15 + -16 = 9 + -10v Reorder the terms: -15 + -16 + -12v = 9 + -10v Combine like terms: -15 + -16 = -31 -31 + -12v = 9 + -10v Solving -31 + -12v = 9 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -31 + -12v + 10v = 9 + -10v + 10v Combine like terms: -12v + 10v = -2v -31 + -2v = 9 + -10v + 10v Combine like terms: -10v + 10v = 0 -31 + -2v = 9 + 0 -31 + -2v = 9 Add '31' to each side of the equation. -31 + 31 + -2v = 9 + 31 Combine like terms: -31 + 31 = 0 0 + -2v = 9 + 31 -2v = 9 + 31 Combine like terms: 9 + 31 = 40 -2v = 40 Divide each side by '-2'. v = -20 Simplifying v = -20
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