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Simplifying 8[n + 2(n + -2)] = 45 Reorder the terms: 8[n + 2(-2 + n)] = 45 8[n + (-2 * 2 + n * 2)] = 45 8[n + (-4 + 2n)] = 45 Reorder the terms: 8[-4 + n + 2n] = 45 Combine like terms: n + 2n = 3n 8[-4 + 3n] = 45 [-4 * 8 + 3n * 8] = 45 [-32 + 24n] = 45 Solving -32 + 24n = 45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 24n = 45 + 32 Combine like terms: -32 + 32 = 0 0 + 24n = 45 + 32 24n = 45 + 32 Combine like terms: 45 + 32 = 77 24n = 77 Divide each side by '24'. n = 3.208333333 Simplifying n = 3.208333333
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