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Simplifying -126 = 6n + 6(n + -5) Reorder the terms: -126 = 6n + 6(-5 + n) -126 = 6n + (-5 * 6 + n * 6) -126 = 6n + (-30 + 6n) Reorder the terms: -126 = -30 + 6n + 6n Combine like terms: 6n + 6n = 12n -126 = -30 + 12n Solving -126 = -30 + 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 = -30 + 12n + -12n Combine like terms: 12n + -12n = 0 -126 + -12n = -30 + 0 -126 + -12n = -30 Add '126' to each side of the equation. -126 + 126 + -12n = -30 + 126 Combine like terms: -126 + 126 = 0 0 + -12n = -30 + 126 -12n = -30 + 126 Combine like terms: -30 + 126 = 96 -12n = 96 Divide each side by '-12'. n = -8 Simplifying n = -8
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