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Simplifying -126 = -6(5 + 3n) + 6n -126 = (5 * -6 + 3n * -6) + 6n -126 = (-30 + -18n) + 6n Combine like terms: -18n + 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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