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Simplifying -7(n + 3) + 23 = -5n + -6 Reorder the terms: -7(3 + n) + 23 = -5n + -6 (3 * -7 + n * -7) + 23 = -5n + -6 (-21 + -7n) + 23 = -5n + -6 Reorder the terms: -21 + 23 + -7n = -5n + -6 Combine like terms: -21 + 23 = 2 2 + -7n = -5n + -6 Reorder the terms: 2 + -7n = -6 + -5n Solving 2 + -7n = -6 + -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. 2 + -7n + 5n = -6 + -5n + 5n Combine like terms: -7n + 5n = -2n 2 + -2n = -6 + -5n + 5n Combine like terms: -5n + 5n = 0 2 + -2n = -6 + 0 2 + -2n = -6 Add '-2' to each side of the equation. 2 + -2 + -2n = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = -6 + -2 -2n = -6 + -2 Combine like terms: -6 + -2 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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