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Simplifying 8(5 + 6n) + 3n = -215 (5 * 8 + 6n * 8) + 3n = -215 (40 + 48n) + 3n = -215 Combine like terms: 48n + 3n = 51n 40 + 51n = -215 Solving 40 + 51n = -215 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 51n = -215 + -40 Combine like terms: 40 + -40 = 0 0 + 51n = -215 + -40 51n = -215 + -40 Combine like terms: -215 + -40 = -255 51n = -255 Divide each side by '51'. n = -5 Simplifying n = -5
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