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Simplifying 6(1[v + 4] * 1) = 8v + 14 Reorder the terms: 6(1[4 + v] * 1) = 8v + 14 Reorder the terms for easier multiplication: 6(1 * 1[4 + v]) = 8v + 14 Multiply 1 * 1 6(1[4 + v]) = 8v + 14 6([4 * 1 + v * 1]) = 8v + 14 6([4 + 1v]) = 8v + 14 (4 * 6 + 1v * 6) = 8v + 14 (24 + 6v) = 8v + 14 Reorder the terms: 24 + 6v = 14 + 8v Solving 24 + 6v = 14 + 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. 24 + 6v + -8v = 14 + 8v + -8v Combine like terms: 6v + -8v = -2v 24 + -2v = 14 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + -2v = 14 + 0 24 + -2v = 14 Add '-24' to each side of the equation. 24 + -24 + -2v = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = 14 + -24 -2v = 14 + -24 Combine like terms: 14 + -24 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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