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Simplifying -4(4n + 3) + 5(n + -6) = 0 Reorder the terms: -4(3 + 4n) + 5(n + -6) = 0 (3 * -4 + 4n * -4) + 5(n + -6) = 0 (-12 + -16n) + 5(n + -6) = 0 Reorder the terms: -12 + -16n + 5(-6 + n) = 0 -12 + -16n + (-6 * 5 + n * 5) = 0 -12 + -16n + (-30 + 5n) = 0 Reorder the terms: -12 + -30 + -16n + 5n = 0 Combine like terms: -12 + -30 = -42 -42 + -16n + 5n = 0 Combine like terms: -16n + 5n = -11n -42 + -11n = 0 Solving -42 + -11n = 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 + -11n = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -11n = 0 + 42 -11n = 0 + 42 Combine like terms: 0 + 42 = 42 -11n = 42 Divide each side by '-11'. n = -3.818181818 Simplifying n = -3.818181818
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