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Simplifying -5(n + -6) = 23 + -6n Reorder the terms: -5(-6 + n) = 23 + -6n (-6 * -5 + n * -5) = 23 + -6n (30 + -5n) = 23 + -6n Solving 30 + -5n = 23 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 30 + -5n + 6n = 23 + -6n + 6n Combine like terms: -5n + 6n = 1n 30 + 1n = 23 + -6n + 6n Combine like terms: -6n + 6n = 0 30 + 1n = 23 + 0 30 + 1n = 23 Add '-30' to each side of the equation. 30 + -30 + 1n = 23 + -30 Combine like terms: 30 + -30 = 0 0 + 1n = 23 + -30 1n = 23 + -30 Combine like terms: 23 + -30 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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