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Simplifying 14 + -14n = 6 + 6(n + -2) Reorder the terms: 14 + -14n = 6 + 6(-2 + n) 14 + -14n = 6 + (-2 * 6 + n * 6) 14 + -14n = 6 + (-12 + 6n) Combine like terms: 6 + -12 = -6 14 + -14n = -6 + 6n Solving 14 + -14n = -6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 14 + -14n + -6n = -6 + 6n + -6n Combine like terms: -14n + -6n = -20n 14 + -20n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 14 + -20n = -6 + 0 14 + -20n = -6 Add '-14' to each side of the equation. 14 + -14 + -20n = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -20n = -6 + -14 -20n = -6 + -14 Combine like terms: -6 + -14 = -20 -20n = -20 Divide each side by '-20'. n = 1 Simplifying n = 1
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