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