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Simplifying 7n + -19 = 5n + 5 Reorder the terms: -19 + 7n = 5n + 5 Reorder the terms: -19 + 7n = 5 + 5n Solving -19 + 7n = 5 + 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. -19 + 7n + -5n = 5 + 5n + -5n Combine like terms: 7n + -5n = 2n -19 + 2n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 -19 + 2n = 5 + 0 -19 + 2n = 5 Add '19' to each side of the equation. -19 + 19 + 2n = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 2n = 5 + 19 2n = 5 + 19 Combine like terms: 5 + 19 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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