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Simplifying 6 + 19n + -3 = 7n + 78 + -3n Reorder the terms: 6 + -3 + 19n = 7n + 78 + -3n Combine like terms: 6 + -3 = 3 3 + 19n = 7n + 78 + -3n Reorder the terms: 3 + 19n = 78 + 7n + -3n Combine like terms: 7n + -3n = 4n 3 + 19n = 78 + 4n Solving 3 + 19n = 78 + 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. 3 + 19n + -4n = 78 + 4n + -4n Combine like terms: 19n + -4n = 15n 3 + 15n = 78 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + 15n = 78 + 0 3 + 15n = 78 Add '-3' to each side of the equation. 3 + -3 + 15n = 78 + -3 Combine like terms: 3 + -3 = 0 0 + 15n = 78 + -3 15n = 78 + -3 Combine like terms: 78 + -3 = 75 15n = 75 Divide each side by '15'. n = 5 Simplifying n = 5
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