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Simplifying 62 = -8 + 7(3n + 1) Reorder the terms: 62 = -8 + 7(1 + 3n) 62 = -8 + (1 * 7 + 3n * 7) 62 = -8 + (7 + 21n) Combine like terms: -8 + 7 = -1 62 = -1 + 21n Solving 62 = -1 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 62 + -21n = -1 + 21n + -21n Combine like terms: 21n + -21n = 0 62 + -21n = -1 + 0 62 + -21n = -1 Add '-62' to each side of the equation. 62 + -62 + -21n = -1 + -62 Combine like terms: 62 + -62 = 0 0 + -21n = -1 + -62 -21n = -1 + -62 Combine like terms: -1 + -62 = -63 -21n = -63 Divide each side by '-21'. n = 3 Simplifying n = 3
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