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Simplifying 7n = 7(6n + 5) Reorder the terms: 7n = 7(5 + 6n) 7n = (5 * 7 + 6n * 7) 7n = (35 + 42n) Solving 7n = 35 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 7n + -42n = 35 + 42n + -42n Combine like terms: 7n + -42n = -35n -35n = 35 + 42n + -42n Combine like terms: 42n + -42n = 0 -35n = 35 + 0 -35n = 35 Divide each side by '-35'. n = -1 Simplifying n = -1
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