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Simplifying 7(1 + 5n) + (1 + 4n) = 0 (1 * 7 + 5n * 7) + (1 + 4n) = 0 (7 + 35n) + (1 + 4n) = 0 Remove parenthesis around (1 + 4n) 7 + 35n + 1 + 4n = 0 Reorder the terms: 7 + 1 + 35n + 4n = 0 Combine like terms: 7 + 1 = 8 8 + 35n + 4n = 0 Combine like terms: 35n + 4n = 39n 8 + 39n = 0 Solving 8 + 39n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 39n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 39n = 0 + -8 39n = 0 + -8 Combine like terms: 0 + -8 = -8 39n = -8 Divide each side by '39'. n = -0.2051282051 Simplifying n = -0.2051282051
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