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Simplifying 36 = 3(v + 7) + -8v Reorder the terms: 36 = 3(7 + v) + -8v 36 = (7 * 3 + v * 3) + -8v 36 = (21 + 3v) + -8v Combine like terms: 3v + -8v = -5v 36 = 21 + -5v Solving 36 = 21 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 36 + 5v = 21 + -5v + 5v Combine like terms: -5v + 5v = 0 36 + 5v = 21 + 0 36 + 5v = 21 Add '-36' to each side of the equation. 36 + -36 + 5v = 21 + -36 Combine like terms: 36 + -36 = 0 0 + 5v = 21 + -36 5v = 21 + -36 Combine like terms: 21 + -36 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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