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Simplifying 5n + -36 = 6(3n + -6) + n Reorder the terms: -36 + 5n = 6(3n + -6) + n Reorder the terms: -36 + 5n = 6(-6 + 3n) + n -36 + 5n = (-6 * 6 + 3n * 6) + n -36 + 5n = (-36 + 18n) + n Combine like terms: 18n + n = 19n -36 + 5n = -36 + 19n Add '36' to each side of the equation. -36 + 36 + 5n = -36 + 36 + 19n Combine like terms: -36 + 36 = 0 0 + 5n = -36 + 36 + 19n 5n = -36 + 36 + 19n Combine like terms: -36 + 36 = 0 5n = 0 + 19n 5n = 19n Solving 5n = 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. 5n + -19n = 19n + -19n Combine like terms: 5n + -19n = -14n -14n = 19n + -19n Combine like terms: 19n + -19n = 0 -14n = 0 Divide each side by '-14'. n = 0 Simplifying n = 0
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