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Simplifying 8v + -36 = -2(v + 8) Reorder the terms: -36 + 8v = -2(v + 8) Reorder the terms: -36 + 8v = -2(8 + v) -36 + 8v = (8 * -2 + v * -2) -36 + 8v = (-16 + -2v) Solving -36 + 8v = -16 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -36 + 8v + 2v = -16 + -2v + 2v Combine like terms: 8v + 2v = 10v -36 + 10v = -16 + -2v + 2v Combine like terms: -2v + 2v = 0 -36 + 10v = -16 + 0 -36 + 10v = -16 Add '36' to each side of the equation. -36 + 36 + 10v = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 10v = -16 + 36 10v = -16 + 36 Combine like terms: -16 + 36 = 20 10v = 20 Divide each side by '10'. v = 2 Simplifying v = 2
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