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Simplifying 126 = 6(2n + 7) Reorder the terms: 126 = 6(7 + 2n) 126 = (7 * 6 + 2n * 6) 126 = (42 + 12n) Solving 126 = 42 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 126 + -12n = 42 + 12n + -12n Combine like terms: 12n + -12n = 0 126 + -12n = 42 + 0 126 + -12n = 42 Add '-126' to each side of the equation. 126 + -126 + -12n = 42 + -126 Combine like terms: 126 + -126 = 0 0 + -12n = 42 + -126 -12n = 42 + -126 Combine like terms: 42 + -126 = -84 -12n = -84 Divide each side by '-12'. n = 7 Simplifying n = 7
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