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Simplifying 8 + 9n = -2 + 7(8 + -6n) 8 + 9n = -2 + (8 * 7 + -6n * 7) 8 + 9n = -2 + (56 + -42n) Combine like terms: -2 + 56 = 54 8 + 9n = 54 + -42n Solving 8 + 9n = 54 + -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. 8 + 9n + 42n = 54 + -42n + 42n Combine like terms: 9n + 42n = 51n 8 + 51n = 54 + -42n + 42n Combine like terms: -42n + 42n = 0 8 + 51n = 54 + 0 8 + 51n = 54 Add '-8' to each side of the equation. 8 + -8 + 51n = 54 + -8 Combine like terms: 8 + -8 = 0 0 + 51n = 54 + -8 51n = 54 + -8 Combine like terms: 54 + -8 = 46 51n = 46 Divide each side by '51'. n = 0.9019607843 Simplifying n = 0.9019607843
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