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Simplifying 2(v + -8) = 6v + 24 Reorder the terms: 2(-8 + v) = 6v + 24 (-8 * 2 + v * 2) = 6v + 24 (-16 + 2v) = 6v + 24 Reorder the terms: -16 + 2v = 24 + 6v Solving -16 + 2v = 24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -16 + 2v + -6v = 24 + 6v + -6v Combine like terms: 2v + -6v = -4v -16 + -4v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 -16 + -4v = 24 + 0 -16 + -4v = 24 Add '16' to each side of the equation. -16 + 16 + -4v = 24 + 16 Combine like terms: -16 + 16 = 0 0 + -4v = 24 + 16 -4v = 24 + 16 Combine like terms: 24 + 16 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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