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Simplifying [(n + -5) + (9 + -2)] * 2 = 144 Reorder the terms: [(-5 + n) + (9 + -2)] * 2 = 144 Remove parenthesis around (-5 + n) [-5 + n + (9 + -2)] * 2 = 144 Combine like terms: 9 + -2 = 7 [-5 + n + (7)] * 2 = 144 [-5 + n + 7] * 2 = 144 Reorder the terms: [-5 + 7 + n] * 2 = 144 Combine like terms: -5 + 7 = 2 [2 + n] * 2 = 144 Reorder the terms for easier multiplication: 2[2 + n] = 144 [2 * 2 + n * 2] = 144 [4 + 2n] = 144 Solving 4 + 2n = 144 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2n = 144 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 144 + -4 2n = 144 + -4 Combine like terms: 144 + -4 = 140 2n = 140 Divide each side by '2'. n = 70 Simplifying n = 70
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