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Simplifying 8 + 19n + -1 = 7n + 82 + -3n Reorder the terms: 8 + -1 + 19n = 7n + 82 + -3n Combine like terms: 8 + -1 = 7 7 + 19n = 7n + 82 + -3n Reorder the terms: 7 + 19n = 82 + 7n + -3n Combine like terms: 7n + -3n = 4n 7 + 19n = 82 + 4n Solving 7 + 19n = 82 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + 19n + -4n = 82 + 4n + -4n Combine like terms: 19n + -4n = 15n 7 + 15n = 82 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + 15n = 82 + 0 7 + 15n = 82 Add '-7' to each side of the equation. 7 + -7 + 15n = 82 + -7 Combine like terms: 7 + -7 = 0 0 + 15n = 82 + -7 15n = 82 + -7 Combine like terms: 82 + -7 = 75 15n = 75 Divide each side by '15'. n = 5 Simplifying n = 5
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