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Simplifying -6v + 36 = -8(v + -6) Reorder the terms: 36 + -6v = -8(v + -6) Reorder the terms: 36 + -6v = -8(-6 + v) 36 + -6v = (-6 * -8 + v * -8) 36 + -6v = (48 + -8v) Solving 36 + -6v = 48 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 36 + -6v + 8v = 48 + -8v + 8v Combine like terms: -6v + 8v = 2v 36 + 2v = 48 + -8v + 8v Combine like terms: -8v + 8v = 0 36 + 2v = 48 + 0 36 + 2v = 48 Add '-36' to each side of the equation. 36 + -36 + 2v = 48 + -36 Combine like terms: 36 + -36 = 0 0 + 2v = 48 + -36 2v = 48 + -36 Combine like terms: 48 + -36 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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