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