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Simplifying 7 + 8(n + -3) = 3n + -7 Reorder the terms: 7 + 8(-3 + n) = 3n + -7 7 + (-3 * 8 + n * 8) = 3n + -7 7 + (-24 + 8n) = 3n + -7 Combine like terms: 7 + -24 = -17 -17 + 8n = 3n + -7 Reorder the terms: -17 + 8n = -7 + 3n Solving -17 + 8n = -7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -17 + 8n + -3n = -7 + 3n + -3n Combine like terms: 8n + -3n = 5n -17 + 5n = -7 + 3n + -3n Combine like terms: 3n + -3n = 0 -17 + 5n = -7 + 0 -17 + 5n = -7 Add '17' to each side of the equation. -17 + 17 + 5n = -7 + 17 Combine like terms: -17 + 17 = 0 0 + 5n = -7 + 17 5n = -7 + 17 Combine like terms: -7 + 17 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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