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Simplifying -5(n + 4) + 23 = -3n + -5 Reorder the terms: -5(4 + n) + 23 = -3n + -5 (4 * -5 + n * -5) + 23 = -3n + -5 (-20 + -5n) + 23 = -3n + -5 Reorder the terms: -20 + 23 + -5n = -3n + -5 Combine like terms: -20 + 23 = 3 3 + -5n = -3n + -5 Reorder the terms: 3 + -5n = -5 + -3n Solving 3 + -5n = -5 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 3 + -5n + 3n = -5 + -3n + 3n Combine like terms: -5n + 3n = -2n 3 + -2n = -5 + -3n + 3n Combine like terms: -3n + 3n = 0 3 + -2n = -5 + 0 3 + -2n = -5 Add '-3' to each side of the equation. 3 + -3 + -2n = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = -5 + -3 -2n = -5 + -3 Combine like terms: -5 + -3 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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