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Simplifying 5(n + -6) = -36 + 6n Reorder the terms: 5(-6 + n) = -36 + 6n (-6 * 5 + n * 5) = -36 + 6n (-30 + 5n) = -36 + 6n Solving -30 + 5n = -36 + 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 = -36 + 6n + -6n Combine like terms: 5n + -6n = -1n -30 + -1n = -36 + 6n + -6n Combine like terms: 6n + -6n = 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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