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Simplifying 6(n + -5) + -11n = 40 Reorder the terms: 6(-5 + n) + -11n = 40 (-5 * 6 + n * 6) + -11n = 40 (-30 + 6n) + -11n = 40 Combine like terms: 6n + -11n = -5n -30 + -5n = 40 Solving -30 + -5n = 40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -5n = 40 + 30 Combine like terms: -30 + 30 = 0 0 + -5n = 40 + 30 -5n = 40 + 30 Combine like terms: 40 + 30 = 70 -5n = 70 Divide each side by '-5'. n = -14 Simplifying n = -14
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