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Simplifying 7n + 40 = 7(3n + 6) + -2 Reorder the terms: 40 + 7n = 7(3n + 6) + -2 Reorder the terms: 40 + 7n = 7(6 + 3n) + -2 40 + 7n = (6 * 7 + 3n * 7) + -2 40 + 7n = (42 + 21n) + -2 Reorder the terms: 40 + 7n = 42 + -2 + 21n Combine like terms: 42 + -2 = 40 40 + 7n = 40 + 21n Add '-40' to each side of the equation. 40 + -40 + 7n = 40 + -40 + 21n Combine like terms: 40 + -40 = 0 0 + 7n = 40 + -40 + 21n 7n = 40 + -40 + 21n Combine like terms: 40 + -40 = 0 7n = 0 + 21n 7n = 21n Solving 7n = 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. 7n + -21n = 21n + -21n Combine like terms: 7n + -21n = -14n -14n = 21n + -21n Combine like terms: 21n + -21n = 0 -14n = 0 Divide each side by '-14'. n = 0 Simplifying n = 0
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