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Simplifying 7(n + 4) + -5n = -6(n + -6) Reorder the terms: 7(4 + n) + -5n = -6(n + -6) (4 * 7 + n * 7) + -5n = -6(n + -6) (28 + 7n) + -5n = -6(n + -6) Combine like terms: 7n + -5n = 2n 28 + 2n = -6(n + -6) Reorder the terms: 28 + 2n = -6(-6 + n) 28 + 2n = (-6 * -6 + n * -6) 28 + 2n = (36 + -6n) Solving 28 + 2n = 36 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 28 + 2n + 6n = 36 + -6n + 6n Combine like terms: 2n + 6n = 8n 28 + 8n = 36 + -6n + 6n Combine like terms: -6n + 6n = 0 28 + 8n = 36 + 0 28 + 8n = 36 Add '-28' to each side of the equation. 28 + -28 + 8n = 36 + -28 Combine like terms: 28 + -28 = 0 0 + 8n = 36 + -28 8n = 36 + -28 Combine like terms: 36 + -28 = 8 8n = 8 Divide each side by '8'. n = 1 Simplifying n = 1
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