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Simplifying 7(-2 + 3n) = 7(1 + 2n) (-2 * 7 + 3n * 7) = 7(1 + 2n) (-14 + 21n) = 7(1 + 2n) -14 + 21n = (1 * 7 + 2n * 7) -14 + 21n = (7 + 14n) Solving -14 + 21n = 7 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -14 + 21n + -14n = 7 + 14n + -14n Combine like terms: 21n + -14n = 7n -14 + 7n = 7 + 14n + -14n Combine like terms: 14n + -14n = 0 -14 + 7n = 7 + 0 -14 + 7n = 7 Add '14' to each side of the equation. -14 + 14 + 7n = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 7n = 7 + 14 7n = 7 + 14 Combine like terms: 7 + 14 = 21 7n = 21 Divide each side by '7'. n = 3 Simplifying n = 3
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