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Simplifying -7(n + 4) + 31 = -5n + -5 Reorder the terms: -7(4 + n) + 31 = -5n + -5 (4 * -7 + n * -7) + 31 = -5n + -5 (-28 + -7n) + 31 = -5n + -5 Reorder the terms: -28 + 31 + -7n = -5n + -5 Combine like terms: -28 + 31 = 3 3 + -7n = -5n + -5 Reorder the terms: 3 + -7n = -5 + -5n Solving 3 + -7n = -5 + -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. 3 + -7n + 5n = -5 + -5n + 5n Combine like terms: -7n + 5n = -2n 3 + -2n = -5 + -5n + 5n Combine like terms: -5n + 5n = 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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