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Simplifying 5(n + 4) + -1(9n + -3) = -5n Reorder the terms: 5(4 + n) + -1(9n + -3) = -5n (4 * 5 + n * 5) + -1(9n + -3) = -5n (20 + 5n) + -1(9n + -3) = -5n Reorder the terms: 20 + 5n + -1(-3 + 9n) = -5n 20 + 5n + (-3 * -1 + 9n * -1) = -5n 20 + 5n + (3 + -9n) = -5n Reorder the terms: 20 + 3 + 5n + -9n = -5n Combine like terms: 20 + 3 = 23 23 + 5n + -9n = -5n Combine like terms: 5n + -9n = -4n 23 + -4n = -5n Solving 23 + -4n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 23 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 23 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 23 + 1n = 0 Add '-23' to each side of the equation. 23 + -23 + 1n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 1n = 0 + -23 1n = 0 + -23 Combine like terms: 0 + -23 = -23 1n = -23 Divide each side by '1'. n = -23 Simplifying n = -23
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