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Simplifying -8(1 + -7n) + 7(n + 3) = 0 (1 * -8 + -7n * -8) + 7(n + 3) = 0 (-8 + 56n) + 7(n + 3) = 0 Reorder the terms: -8 + 56n + 7(3 + n) = 0 -8 + 56n + (3 * 7 + n * 7) = 0 -8 + 56n + (21 + 7n) = 0 Reorder the terms: -8 + 21 + 56n + 7n = 0 Combine like terms: -8 + 21 = 13 13 + 56n + 7n = 0 Combine like terms: 56n + 7n = 63n 13 + 63n = 0 Solving 13 + 63n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 63n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 63n = 0 + -13 63n = 0 + -13 Combine like terms: 0 + -13 = -13 63n = -13 Divide each side by '63'. n = -0.2063492063 Simplifying n = -0.2063492063
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