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Simplifying 14 = -10(10 + -12n) + 6(n + -2) 14 = (10 * -10 + -12n * -10) + 6(n + -2) 14 = (-100 + 120n) + 6(n + -2) Reorder the terms: 14 = -100 + 120n + 6(-2 + n) 14 = -100 + 120n + (-2 * 6 + n * 6) 14 = -100 + 120n + (-12 + 6n) Reorder the terms: 14 = -100 + -12 + 120n + 6n Combine like terms: -100 + -12 = -112 14 = -112 + 120n + 6n Combine like terms: 120n + 6n = 126n 14 = -112 + 126n Solving 14 = -112 + 126n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-126n' to each side of the equation. 14 + -126n = -112 + 126n + -126n Combine like terms: 126n + -126n = 0 14 + -126n = -112 + 0 14 + -126n = -112 Add '-14' to each side of the equation. 14 + -14 + -126n = -112 + -14 Combine like terms: 14 + -14 = 0 0 + -126n = -112 + -14 -126n = -112 + -14 Combine like terms: -112 + -14 = -126 -126n = -126 Divide each side by '-126'. n = 1 Simplifying n = 1
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