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Simplifying 36 + -5n = 5n + 6(6 + 7n) 36 + -5n = 5n + (6 * 6 + 7n * 6) 36 + -5n = 5n + (36 + 42n) Reorder the terms: 36 + -5n = 36 + 5n + 42n Combine like terms: 5n + 42n = 47n 36 + -5n = 36 + 47n Add '-36' to each side of the equation. 36 + -36 + -5n = 36 + -36 + 47n Combine like terms: 36 + -36 = 0 0 + -5n = 36 + -36 + 47n -5n = 36 + -36 + 47n Combine like terms: 36 + -36 = 0 -5n = 0 + 47n -5n = 47n Solving -5n = 47n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-47n' to each side of the equation. -5n + -47n = 47n + -47n Combine like terms: -5n + -47n = -52n -52n = 47n + -47n Combine like terms: 47n + -47n = 0 -52n = 0 Divide each side by '-52'. n = 0 Simplifying n = 0
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