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Simplifying -5(n + 4) + 23 = -2n + -6 Reorder the terms: -5(4 + n) + 23 = -2n + -6 (4 * -5 + n * -5) + 23 = -2n + -6 (-20 + -5n) + 23 = -2n + -6 Reorder the terms: -20 + 23 + -5n = -2n + -6 Combine like terms: -20 + 23 = 3 3 + -5n = -2n + -6 Reorder the terms: 3 + -5n = -6 + -2n Solving 3 + -5n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 3 + -5n + 2n = -6 + -2n + 2n Combine like terms: -5n + 2n = -3n 3 + -3n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 3 + -3n = -6 + 0 3 + -3n = -6 Add '-3' to each side of the equation. 3 + -3 + -3n = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -6 + -3 -3n = -6 + -3 Combine like terms: -6 + -3 = -9 -3n = -9 Divide each side by '-3'. n = 3 Simplifying n = 3
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