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Simplifying 3n + 14 = 4n + -7 Reorder the terms: 14 + 3n = 4n + -7 Reorder the terms: 14 + 3n = -7 + 4n Solving 14 + 3n = -7 + 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. 14 + 3n + -4n = -7 + 4n + -4n Combine like terms: 3n + -4n = -1n 14 + -1n = -7 + 4n + -4n Combine like terms: 4n + -4n = 0 14 + -1n = -7 + 0 14 + -1n = -7 Add '-14' to each side of the equation. 14 + -14 + -1n = -7 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = -7 + -14 -1n = -7 + -14 Combine like terms: -7 + -14 = -21 -1n = -21 Divide each side by '-1'. n = 21 Simplifying n = 21
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