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Simplifying 3n + 49 = 7n + 5 Reorder the terms: 49 + 3n = 7n + 5 Reorder the terms: 49 + 3n = 5 + 7n Solving 49 + 3n = 5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 49 + 3n + -7n = 5 + 7n + -7n Combine like terms: 3n + -7n = -4n 49 + -4n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 49 + -4n = 5 + 0 49 + -4n = 5 Add '-49' to each side of the equation. 49 + -49 + -4n = 5 + -49 Combine like terms: 49 + -49 = 0 0 + -4n = 5 + -49 -4n = 5 + -49 Combine like terms: 5 + -49 = -44 -4n = -44 Divide each side by '-4'. n = 11 Simplifying n = 11
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