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Simplifying 4[n + -2(3n + 5)] = 32 Reorder the terms: 4[n + -2(5 + 3n)] = 32 4[n + (5 * -2 + 3n * -2)] = 32 4[n + (-10 + -6n)] = 32 Reorder the terms: 4[-10 + n + -6n] = 32 Combine like terms: n + -6n = -5n 4[-10 + -5n] = 32 [-10 * 4 + -5n * 4] = 32 [-40 + -20n] = 32 Solving -40 + -20n = 32 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -20n = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -20n = 32 + 40 -20n = 32 + 40 Combine like terms: 32 + 40 = 72 -20n = 72 Divide each side by '-20'. n = -3.6 Simplifying n = -3.6
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