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Simplifying 83 = -7 + 6(n + 8) Reorder the terms: 83 = -7 + 6(8 + n) 83 = -7 + (8 * 6 + n * 6) 83 = -7 + (48 + 6n) Combine like terms: -7 + 48 = 41 83 = 41 + 6n Solving 83 = 41 + 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. 83 + -6n = 41 + 6n + -6n Combine like terms: 6n + -6n = 0 83 + -6n = 41 + 0 83 + -6n = 41 Add '-83' to each side of the equation. 83 + -83 + -6n = 41 + -83 Combine like terms: 83 + -83 = 0 0 + -6n = 41 + -83 -6n = 41 + -83 Combine like terms: 41 + -83 = -42 -6n = -42 Divide each side by '-6'. n = 7 Simplifying n = 7
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