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Simplifying 6(7n + 7) + -3n = 0 Reorder the terms: 6(7 + 7n) + -3n = 0 (7 * 6 + 7n * 6) + -3n = 0 (42 + 42n) + -3n = 0 Combine like terms: 42n + -3n = 39n 42 + 39n = 0 Solving 42 + 39n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 39n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 39n = 0 + -42 39n = 0 + -42 Combine like terms: 0 + -42 = -42 39n = -42 Divide each side by '39'. n = -1.076923077 Simplifying n = -1.076923077
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