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Simplifying 14 + 3n = 4n + -3(n + -4) Reorder the terms: 14 + 3n = 4n + -3(-4 + n) 14 + 3n = 4n + (-4 * -3 + n * -3) 14 + 3n = 4n + (12 + -3n) Reorder the terms: 14 + 3n = 12 + 4n + -3n Combine like terms: 4n + -3n = 1n 14 + 3n = 12 + 1n Solving 14 + 3n = 12 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 14 + 3n + -1n = 12 + 1n + -1n Combine like terms: 3n + -1n = 2n 14 + 2n = 12 + 1n + -1n Combine like terms: 1n + -1n = 0 14 + 2n = 12 + 0 14 + 2n = 12 Add '-14' to each side of the equation. 14 + -14 + 2n = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 2n = 12 + -14 2n = 12 + -14 Combine like terms: 12 + -14 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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