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