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Simplifying 5n + 3(n + -2) + -7 = 43 Reorder the terms: 5n + 3(-2 + n) + -7 = 43 5n + (-2 * 3 + n * 3) + -7 = 43 5n + (-6 + 3n) + -7 = 43 Reorder the terms: -6 + -7 + 5n + 3n = 43 Combine like terms: -6 + -7 = -13 -13 + 5n + 3n = 43 Combine like terms: 5n + 3n = 8n -13 + 8n = 43 Solving -13 + 8n = 43 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8n = 43 + 13 Combine like terms: -13 + 13 = 0 0 + 8n = 43 + 13 8n = 43 + 13 Combine like terms: 43 + 13 = 56 8n = 56 Divide each side by '8'. n = 7 Simplifying n = 7
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