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Simplifying 8v + -12 = 4(v + 5) Reorder the terms: -12 + 8v = 4(v + 5) Reorder the terms: -12 + 8v = 4(5 + v) -12 + 8v = (5 * 4 + v * 4) -12 + 8v = (20 + 4v) Solving -12 + 8v = 20 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -12 + 8v + -4v = 20 + 4v + -4v Combine like terms: 8v + -4v = 4v -12 + 4v = 20 + 4v + -4v Combine like terms: 4v + -4v = 0 -12 + 4v = 20 + 0 -12 + 4v = 20 Add '12' to each side of the equation. -12 + 12 + 4v = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4v = 20 + 12 4v = 20 + 12 Combine like terms: 20 + 12 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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