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Simplifying 6(8n + -5) + -1[3(5n + -2) + 4] = 0 Reorder the terms: 6(-5 + 8n) + -1[3(5n + -2) + 4] = 0 (-5 * 6 + 8n * 6) + -1[3(5n + -2) + 4] = 0 (-30 + 48n) + -1[3(5n + -2) + 4] = 0 Reorder the terms: -30 + 48n + -1[3(-2 + 5n) + 4] = 0 -30 + 48n + -1[(-2 * 3 + 5n * 3) + 4] = 0 -30 + 48n + -1[(-6 + 15n) + 4] = 0 Reorder the terms: -30 + 48n + -1[-6 + 4 + 15n] = 0 Combine like terms: -6 + 4 = -2 -30 + 48n + -1[-2 + 15n] = 0 -30 + 48n + [-2 * -1 + 15n * -1] = 0 -30 + 48n + [2 + -15n] = 0 Reorder the terms: -30 + 2 + 48n + -15n = 0 Combine like terms: -30 + 2 = -28 -28 + 48n + -15n = 0 Combine like terms: 48n + -15n = 33n -28 + 33n = 0 Solving -28 + 33n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 33n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 33n = 0 + 28 33n = 0 + 28 Combine like terms: 0 + 28 = 28 33n = 28 Divide each side by '33'. n = 0.8484848485 Simplifying n = 0.8484848485
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