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Simplifying 36 = -8v + 6(v + 7) Reorder the terms: 36 = -8v + 6(7 + v) 36 = -8v + (7 * 6 + v * 6) 36 = -8v + (42 + 6v) Reorder the terms: 36 = 42 + -8v + 6v Combine like terms: -8v + 6v = -2v 36 = 42 + -2v Solving 36 = 42 + -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 + 2v = 42 + -2v + 2v Combine like terms: -2v + 2v = 0 36 + 2v = 42 + 0 36 + 2v = 42 Add '-36' to each side of the equation. 36 + -36 + 2v = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 2v = 42 + -36 2v = 42 + -36 Combine like terms: 42 + -36 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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