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Simplifying -4(5n + 6) + 6(-4n + -8) = 50 Reorder the terms: -4(6 + 5n) + 6(-4n + -8) = 50 (6 * -4 + 5n * -4) + 6(-4n + -8) = 50 (-24 + -20n) + 6(-4n + -8) = 50 Reorder the terms: -24 + -20n + 6(-8 + -4n) = 50 -24 + -20n + (-8 * 6 + -4n * 6) = 50 -24 + -20n + (-48 + -24n) = 50 Reorder the terms: -24 + -48 + -20n + -24n = 50 Combine like terms: -24 + -48 = -72 -72 + -20n + -24n = 50 Combine like terms: -20n + -24n = -44n -72 + -44n = 50 Solving -72 + -44n = 50 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -44n = 50 + 72 Combine like terms: -72 + 72 = 0 0 + -44n = 50 + 72 -44n = 50 + 72 Combine like terms: 50 + 72 = 122 -44n = 122 Divide each side by '-44'. n = -2.772727273 Simplifying n = -2.772727273
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