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Simplifying 3[n + 2(11 + -1n)] = 48 3[n + (11 * 2 + -1n * 2)] = 48 3[n + (22 + -2n)] = 48 Reorder the terms: 3[22 + n + -2n] = 48 Combine like terms: n + -2n = -1n 3[22 + -1n] = 48 [22 * 3 + -1n * 3] = 48 [66 + -3n] = 48 Solving 66 + -3n = 48 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + -3n = 48 + -66 Combine like terms: 66 + -66 = 0 0 + -3n = 48 + -66 -3n = 48 + -66 Combine like terms: 48 + -66 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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