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Simplifying 2(n + 2) + -3n = -3(n + -6) + -5n Reorder the terms: 2(2 + n) + -3n = -3(n + -6) + -5n (2 * 2 + n * 2) + -3n = -3(n + -6) + -5n (4 + 2n) + -3n = -3(n + -6) + -5n Combine like terms: 2n + -3n = -1n 4 + -1n = -3(n + -6) + -5n Reorder the terms: 4 + -1n = -3(-6 + n) + -5n 4 + -1n = (-6 * -3 + n * -3) + -5n 4 + -1n = (18 + -3n) + -5n Combine like terms: -3n + -5n = -8n 4 + -1n = 18 + -8n Solving 4 + -1n = 18 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 4 + -1n + 8n = 18 + -8n + 8n Combine like terms: -1n + 8n = 7n 4 + 7n = 18 + -8n + 8n Combine like terms: -8n + 8n = 0 4 + 7n = 18 + 0 4 + 7n = 18 Add '-4' to each side of the equation. 4 + -4 + 7n = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 18 + -4 7n = 18 + -4 Combine like terms: 18 + -4 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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