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Simplifying -5(n + 3) = 4(n + -9) + 10 Reorder the terms: -5(3 + n) = 4(n + -9) + 10 (3 * -5 + n * -5) = 4(n + -9) + 10 (-15 + -5n) = 4(n + -9) + 10 Reorder the terms: -15 + -5n = 4(-9 + n) + 10 -15 + -5n = (-9 * 4 + n * 4) + 10 -15 + -5n = (-36 + 4n) + 10 Reorder the terms: -15 + -5n = -36 + 10 + 4n Combine like terms: -36 + 10 = -26 -15 + -5n = -26 + 4n Solving -15 + -5n = -26 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -15 + -5n + -4n = -26 + 4n + -4n Combine like terms: -5n + -4n = -9n -15 + -9n = -26 + 4n + -4n Combine like terms: 4n + -4n = 0 -15 + -9n = -26 + 0 -15 + -9n = -26 Add '15' to each side of the equation. -15 + 15 + -9n = -26 + 15 Combine like terms: -15 + 15 = 0 0 + -9n = -26 + 15 -9n = -26 + 15 Combine like terms: -26 + 15 = -11 -9n = -11 Divide each side by '-9'. n = 1.222222222 Simplifying n = 1.222222222
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