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Simplifying 3n + 14 = 7n + 10 Reorder the terms: 14 + 3n = 7n + 10 Reorder the terms: 14 + 3n = 10 + 7n Solving 14 + 3n = 10 + 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. 14 + 3n + -7n = 10 + 7n + -7n Combine like terms: 3n + -7n = -4n 14 + -4n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 14 + -4n = 10 + 0 14 + -4n = 10 Add '-14' to each side of the equation. 14 + -14 + -4n = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = 10 + -14 -4n = 10 + -14 Combine like terms: 10 + -14 = -4 -4n = -4 Divide each side by '-4'. n = 1 Simplifying n = 1
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