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Simplifying -3(n + 5) + -8(7 + -6n) = 0 Reorder the terms: -3(5 + n) + -8(7 + -6n) = 0 (5 * -3 + n * -3) + -8(7 + -6n) = 0 (-15 + -3n) + -8(7 + -6n) = 0 -15 + -3n + (7 * -8 + -6n * -8) = 0 -15 + -3n + (-56 + 48n) = 0 Reorder the terms: -15 + -56 + -3n + 48n = 0 Combine like terms: -15 + -56 = -71 -71 + -3n + 48n = 0 Combine like terms: -3n + 48n = 45n -71 + 45n = 0 Solving -71 + 45n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + 45n = 0 + 71 Combine like terms: -71 + 71 = 0 0 + 45n = 0 + 71 45n = 0 + 71 Combine like terms: 0 + 71 = 71 45n = 71 Divide each side by '45'. n = 1.577777778 Simplifying n = 1.577777778
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