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Simplifying 8 = 4(v + 1) + -12 Reorder the terms: 8 = 4(1 + v) + -12 8 = (1 * 4 + v * 4) + -12 8 = (4 + 4v) + -12 Reorder the terms: 8 = 4 + -12 + 4v Combine like terms: 4 + -12 = -8 8 = -8 + 4v Solving 8 = -8 + 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. 8 + -4v = -8 + 4v + -4v Combine like terms: 4v + -4v = 0 8 + -4v = -8 + 0 8 + -4v = -8 Add '-8' to each side of the equation. 8 + -8 + -4v = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = -8 + -8 -4v = -8 + -8 Combine like terms: -8 + -8 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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