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Simplifying -5(4n + 6) + -4(n + 5) = -2 Reorder the terms: -5(6 + 4n) + -4(n + 5) = -2 (6 * -5 + 4n * -5) + -4(n + 5) = -2 (-30 + -20n) + -4(n + 5) = -2 Reorder the terms: -30 + -20n + -4(5 + n) = -2 -30 + -20n + (5 * -4 + n * -4) = -2 -30 + -20n + (-20 + -4n) = -2 Reorder the terms: -30 + -20 + -20n + -4n = -2 Combine like terms: -30 + -20 = -50 -50 + -20n + -4n = -2 Combine like terms: -20n + -4n = -24n -50 + -24n = -2 Solving -50 + -24n = -2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -24n = -2 + 50 Combine like terms: -50 + 50 = 0 0 + -24n = -2 + 50 -24n = -2 + 50 Combine like terms: -2 + 50 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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