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Simplifying 6(1 + -5n) + -6n = 150 (1 * 6 + -5n * 6) + -6n = 150 (6 + -30n) + -6n = 150 Combine like terms: -30n + -6n = -36n 6 + -36n = 150 Solving 6 + -36n = 150 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -36n = 150 + -6 Combine like terms: 6 + -6 = 0 0 + -36n = 150 + -6 -36n = 150 + -6 Combine like terms: 150 + -6 = 144 -36n = 144 Divide each side by '-36'. n = -4 Simplifying n = -4
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