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Simplifying 23 + -5n = -7(n + -3) + -4 Reorder the terms: 23 + -5n = -7(-3 + n) + -4 23 + -5n = (-3 * -7 + n * -7) + -4 23 + -5n = (21 + -7n) + -4 Reorder the terms: 23 + -5n = 21 + -4 + -7n Combine like terms: 21 + -4 = 17 23 + -5n = 17 + -7n Solving 23 + -5n = 17 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 23 + -5n + 7n = 17 + -7n + 7n Combine like terms: -5n + 7n = 2n 23 + 2n = 17 + -7n + 7n Combine like terms: -7n + 7n = 0 23 + 2n = 17 + 0 23 + 2n = 17 Add '-23' to each side of the equation. 23 + -23 + 2n = 17 + -23 Combine like terms: 23 + -23 = 0 0 + 2n = 17 + -23 2n = 17 + -23 Combine like terms: 17 + -23 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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