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