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Simplifying -5n + 4(-3n + -6) = -126 Reorder the terms: -5n + 4(-6 + -3n) = -126 -5n + (-6 * 4 + -3n * 4) = -126 -5n + (-24 + -12n) = -126 Reorder the terms: -24 + -5n + -12n = -126 Combine like terms: -5n + -12n = -17n -24 + -17n = -126 Solving -24 + -17n = -126 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -17n = -126 + 24 Combine like terms: -24 + 24 = 0 0 + -17n = -126 + 24 -17n = -126 + 24 Combine like terms: -126 + 24 = -102 -17n = -102 Divide each side by '-17'. n = 6 Simplifying n = 6
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