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Simplifying 2n + -16 + 7 = 5n + 10 + -19 Reorder the terms: -16 + 7 + 2n = 5n + 10 + -19 Combine like terms: -16 + 7 = -9 -9 + 2n = 5n + 10 + -19 Reorder the terms: -9 + 2n = 10 + -19 + 5n Combine like terms: 10 + -19 = -9 -9 + 2n = -9 + 5n Add '9' to each side of the equation. -9 + 9 + 2n = -9 + 9 + 5n Combine like terms: -9 + 9 = 0 0 + 2n = -9 + 9 + 5n 2n = -9 + 9 + 5n Combine like terms: -9 + 9 = 0 2n = 0 + 5n 2n = 5n Solving 2n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 2n + -5n = 5n + -5n Combine like terms: 2n + -5n = -3n -3n = 5n + -5n Combine like terms: 5n + -5n = 0 -3n = 0 Divide each side by '-3'. n = 0 Simplifying n = 0
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