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Simplifying -3(5n + 2) + 4(n + -8) = 0 Reorder the terms: -3(2 + 5n) + 4(n + -8) = 0 (2 * -3 + 5n * -3) + 4(n + -8) = 0 (-6 + -15n) + 4(n + -8) = 0 Reorder the terms: -6 + -15n + 4(-8 + n) = 0 -6 + -15n + (-8 * 4 + n * 4) = 0 -6 + -15n + (-32 + 4n) = 0 Reorder the terms: -6 + -32 + -15n + 4n = 0 Combine like terms: -6 + -32 = -38 -38 + -15n + 4n = 0 Combine like terms: -15n + 4n = -11n -38 + -11n = 0 Solving -38 + -11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -11n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -11n = 0 + 38 -11n = 0 + 38 Combine like terms: 0 + 38 = 38 -11n = 38 Divide each side by '-11'. n = -3.454545455 Simplifying n = -3.454545455
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