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Simplifying -36 = 2(v + -3) + 8v Reorder the terms: -36 = 2(-3 + v) + 8v -36 = (-3 * 2 + v * 2) + 8v -36 = (-6 + 2v) + 8v Combine like terms: 2v + 8v = 10v -36 = -6 + 10v Solving -36 = -6 + 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. -36 + -10v = -6 + 10v + -10v Combine like terms: 10v + -10v = 0 -36 + -10v = -6 + 0 -36 + -10v = -6 Add '36' to each side of the equation. -36 + 36 + -10v = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -10v = -6 + 36 -10v = -6 + 36 Combine like terms: -6 + 36 = 30 -10v = 30 Divide each side by '-10'. v = -3 Simplifying v = -3
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