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Simplifying 4v + 12 = 8(1[v + 2] * 1) Reorder the terms: 12 + 4v = 8(1[v + 2] * 1) Reorder the terms: 12 + 4v = 8(1[2 + v] * 1) Reorder the terms for easier multiplication: 12 + 4v = 8(1 * 1[2 + v]) Multiply 1 * 1 12 + 4v = 8(1[2 + v]) 12 + 4v = 8([2 * 1 + v * 1]) 12 + 4v = 8([2 + 1v]) 12 + 4v = (2 * 8 + 1v * 8) 12 + 4v = (16 + 8v) Solving 12 + 4v = 16 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 12 + 4v + -8v = 16 + 8v + -8v Combine like terms: 4v + -8v = -4v 12 + -4v = 16 + 8v + -8v Combine like terms: 8v + -8v = 0 12 + -4v = 16 + 0 12 + -4v = 16 Add '-12' to each side of the equation. 12 + -12 + -4v = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -4v = 16 + -12 -4v = 16 + -12 Combine like terms: 16 + -12 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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