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Simplifying (n + (n + 2) * 2) + -12 = n + 4 Reorder the terms: (n + (2 + n) * 2) + -12 = n + 4 Reorder the terms for easier multiplication: (n + 2(2 + n)) + -12 = n + 4 (n + (2 * 2 + n * 2)) + -12 = n + 4 (n + (4 + 2n)) + -12 = n + 4 Reorder the terms: (4 + n + 2n) + -12 = n + 4 Combine like terms: n + 2n = 3n (4 + 3n) + -12 = n + 4 Remove parenthesis around (4 + 3n) 4 + 3n + -12 = n + 4 Reorder the terms: 4 + -12 + 3n = n + 4 Combine like terms: 4 + -12 = -8 -8 + 3n = n + 4 Reorder the terms: -8 + 3n = 4 + n Solving -8 + 3n = 4 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -8 + 3n + -1n = 4 + n + -1n Combine like terms: 3n + -1n = 2n -8 + 2n = 4 + n + -1n Combine like terms: n + -1n = 0 -8 + 2n = 4 + 0 -8 + 2n = 4 Add '8' to each side of the equation. -8 + 8 + 2n = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 4 + 8 2n = 4 + 8 Combine like terms: 4 + 8 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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