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Simplifying 1 + 20n + -17n = -13(-39n + -37) + 12(38 + 6n) Combine like terms: 20n + -17n = 3n 1 + 3n = -13(-39n + -37) + 12(38 + 6n) Reorder the terms: 1 + 3n = -13(-37 + -39n) + 12(38 + 6n) 1 + 3n = (-37 * -13 + -39n * -13) + 12(38 + 6n) 1 + 3n = (481 + 507n) + 12(38 + 6n) 1 + 3n = 481 + 507n + (38 * 12 + 6n * 12) 1 + 3n = 481 + 507n + (456 + 72n) Reorder the terms: 1 + 3n = 481 + 456 + 507n + 72n Combine like terms: 481 + 456 = 937 1 + 3n = 937 + 507n + 72n Combine like terms: 507n + 72n = 579n 1 + 3n = 937 + 579n Solving 1 + 3n = 937 + 579n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-579n' to each side of the equation. 1 + 3n + -579n = 937 + 579n + -579n Combine like terms: 3n + -579n = -576n 1 + -576n = 937 + 579n + -579n Combine like terms: 579n + -579n = 0 1 + -576n = 937 + 0 1 + -576n = 937 Add '-1' to each side of the equation. 1 + -1 + -576n = 937 + -1 Combine like terms: 1 + -1 = 0 0 + -576n = 937 + -1 -576n = 937 + -1 Combine like terms: 937 + -1 = 936 -576n = 936 Divide each side by '-576'. n = -1.625 Simplifying n = -1.625
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