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Simplifying (n + 7) + (3n + 4) + (2n + -12) + n = 90 Reorder the terms: (7 + n) + (3n + 4) + (2n + -12) + n = 90 Remove parenthesis around (7 + n) 7 + n + (3n + 4) + (2n + -12) + n = 90 Reorder the terms: 7 + n + (4 + 3n) + (2n + -12) + n = 90 Remove parenthesis around (4 + 3n) 7 + n + 4 + 3n + (2n + -12) + n = 90 Reorder the terms: 7 + n + 4 + 3n + (-12 + 2n) + n = 90 Remove parenthesis around (-12 + 2n) 7 + n + 4 + 3n + -12 + 2n + n = 90 Reorder the terms: 7 + 4 + -12 + n + 3n + 2n + n = 90 Combine like terms: 7 + 4 = 11 11 + -12 + n + 3n + 2n + n = 90 Combine like terms: 11 + -12 = -1 -1 + n + 3n + 2n + n = 90 Combine like terms: n + 3n = 4n -1 + 4n + 2n + n = 90 Combine like terms: 4n + 2n = 6n -1 + 6n + n = 90 Combine like terms: 6n + n = 7n -1 + 7n = 90 Solving -1 + 7n = 90 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7n = 90 + 1 Combine like terms: -1 + 1 = 0 0 + 7n = 90 + 1 7n = 90 + 1 Combine like terms: 90 + 1 = 91 7n = 91 Divide each side by '7'. n = 13 Simplifying n = 13
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