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Simplifying 1 + 20n + -17n = -13(-39n + -37) + 12(38 + 36n) Combine like terms: 20n + -17n = 3n 1 + 3n = -13(-39n + -37) + 12(38 + 36n) Reorder the terms: 1 + 3n = -13(-37 + -39n) + 12(38 + 36n) 1 + 3n = (-37 * -13 + -39n * -13) + 12(38 + 36n) 1 + 3n = (481 + 507n) + 12(38 + 36n) 1 + 3n = 481 + 507n + (38 * 12 + 36n * 12) 1 + 3n = 481 + 507n + (456 + 432n) Reorder the terms: 1 + 3n = 481 + 456 + 507n + 432n Combine like terms: 481 + 456 = 937 1 + 3n = 937 + 507n + 432n Combine like terms: 507n + 432n = 939n 1 + 3n = 937 + 939n Solving 1 + 3n = 937 + 939n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-939n' to each side of the equation. 1 + 3n + -939n = 937 + 939n + -939n Combine like terms: 3n + -939n = -936n 1 + -936n = 937 + 939n + -939n Combine like terms: 939n + -939n = 0 1 + -936n = 937 + 0 1 + -936n = 937 Add '-1' to each side of the equation. 1 + -1 + -936n = 937 + -1 Combine like terms: 1 + -1 = 0 0 + -936n = 937 + -1 -936n = 937 + -1 Combine like terms: 937 + -1 = 936 -936n = 936 Divide each side by '-936'. n = -1 Simplifying n = -1
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