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Simplifying 8v + -28 = 4(v + 3) Reorder the terms: -28 + 8v = 4(v + 3) Reorder the terms: -28 + 8v = 4(3 + v) -28 + 8v = (3 * 4 + v * 4) -28 + 8v = (12 + 4v) Solving -28 + 8v = 12 + 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. -28 + 8v + -4v = 12 + 4v + -4v Combine like terms: 8v + -4v = 4v -28 + 4v = 12 + 4v + -4v Combine like terms: 4v + -4v = 0 -28 + 4v = 12 + 0 -28 + 4v = 12 Add '28' to each side of the equation. -28 + 28 + 4v = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 4v = 12 + 28 4v = 12 + 28 Combine like terms: 12 + 28 = 40 4v = 40 Divide each side by '4'. v = 10 Simplifying v = 10
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