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Simplifying 4(v + 1) = -4v + 12 Reorder the terms: 4(1 + v) = -4v + 12 (1 * 4 + v * 4) = -4v + 12 (4 + 4v) = -4v + 12 Reorder the terms: 4 + 4v = 12 + -4v Solving 4 + 4v = 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. 4 + 4v + 4v = 12 + -4v + 4v Combine like terms: 4v + 4v = 8v 4 + 8v = 12 + -4v + 4v Combine like terms: -4v + 4v = 0 4 + 8v = 12 + 0 4 + 8v = 12 Add '-4' to each side of the equation. 4 + -4 + 8v = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8v = 12 + -4 8v = 12 + -4 Combine like terms: 12 + -4 = 8 8v = 8 Divide each side by '8'. v = 1 Simplifying v = 1
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