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Simplifying 15 + 8v = 8v + -3(v + -3) Reorder the terms: 15 + 8v = 8v + -3(-3 + v) 15 + 8v = 8v + (-3 * -3 + v * -3) 15 + 8v = 8v + (9 + -3v) Reorder the terms: 15 + 8v = 9 + 8v + -3v Combine like terms: 8v + -3v = 5v 15 + 8v = 9 + 5v Solving 15 + 8v = 9 + 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. 15 + 8v + -5v = 9 + 5v + -5v Combine like terms: 8v + -5v = 3v 15 + 3v = 9 + 5v + -5v Combine like terms: 5v + -5v = 0 15 + 3v = 9 + 0 15 + 3v = 9 Add '-15' to each side of the equation. 15 + -15 + 3v = 9 + -15 Combine like terms: 15 + -15 = 0 0 + 3v = 9 + -15 3v = 9 + -15 Combine like terms: 9 + -15 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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