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Simplifying 14 + -1n = 3(-2 + n) 14 + -1n = (-2 * 3 + n * 3) 14 + -1n = (-6 + 3n) Solving 14 + -1n = -6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 14 + -1n + -3n = -6 + 3n + -3n Combine like terms: -1n + -3n = -4n 14 + -4n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 14 + -4n = -6 + 0 14 + -4n = -6 Add '-14' to each side of the equation. 14 + -14 + -4n = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = -6 + -14 -4n = -6 + -14 Combine like terms: -6 + -14 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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