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Simplifying 1 + 2n + -4n = 16 + n + -2 + 1 Combine like terms: 2n + -4n = -2n 1 + -2n = 16 + n + -2 + 1 Reorder the terms: 1 + -2n = 16 + -2 + 1 + n Combine like terms: 16 + -2 = 14 1 + -2n = 14 + 1 + n Combine like terms: 14 + 1 = 15 1 + -2n = 15 + n Solving 1 + -2n = 15 + 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. 1 + -2n + -1n = 15 + n + -1n Combine like terms: -2n + -1n = -3n 1 + -3n = 15 + n + -1n Combine like terms: n + -1n = 0 1 + -3n = 15 + 0 1 + -3n = 15 Add '-1' to each side of the equation. 1 + -1 + -3n = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = 15 + -1 -3n = 15 + -1 Combine like terms: 15 + -1 = 14 -3n = 14 Divide each side by '-3'. n = -4.666666667 Simplifying n = -4.666666667
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