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Simplifying 36 = 7(v + 6) + -5v Reorder the terms: 36 = 7(6 + v) + -5v 36 = (6 * 7 + v * 7) + -5v 36 = (42 + 7v) + -5v Combine like terms: 7v + -5v = 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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