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Simplifying 8v + 16 = 3(v + -8) Reorder the terms: 16 + 8v = 3(v + -8) Reorder the terms: 16 + 8v = 3(-8 + v) 16 + 8v = (-8 * 3 + v * 3) 16 + 8v = (-24 + 3v) Solving 16 + 8v = -24 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 16 + 8v + -3v = -24 + 3v + -3v Combine like terms: 8v + -3v = 5v 16 + 5v = -24 + 3v + -3v Combine like terms: 3v + -3v = 0 16 + 5v = -24 + 0 16 + 5v = -24 Add '-16' to each side of the equation. 16 + -16 + 5v = -24 + -16 Combine like terms: 16 + -16 = 0 0 + 5v = -24 + -16 5v = -24 + -16 Combine like terms: -24 + -16 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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