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Simplifying -30 + 3n = 7(6 + -3n) -30 + 3n = (6 * 7 + -3n * 7) -30 + 3n = (42 + -21n) Solving -30 + 3n = 42 + -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. -30 + 3n + 21n = 42 + -21n + 21n Combine like terms: 3n + 21n = 24n -30 + 24n = 42 + -21n + 21n Combine like terms: -21n + 21n = 0 -30 + 24n = 42 + 0 -30 + 24n = 42 Add '30' to each side of the equation. -30 + 30 + 24n = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 24n = 42 + 30 24n = 42 + 30 Combine like terms: 42 + 30 = 72 24n = 72 Divide each side by '24'. n = 3 Simplifying n = 3
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