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Simplifying 30 + 2n = 7(1 + -3n) 30 + 2n = (1 * 7 + -3n * 7) 30 + 2n = (7 + -21n) Solving 30 + 2n = 7 + -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 + 2n + 21n = 7 + -21n + 21n Combine like terms: 2n + 21n = 23n 30 + 23n = 7 + -21n + 21n Combine like terms: -21n + 21n = 0 30 + 23n = 7 + 0 30 + 23n = 7 Add '-30' to each side of the equation. 30 + -30 + 23n = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 23n = 7 + -30 23n = 7 + -30 Combine like terms: 7 + -30 = -23 23n = -23 Divide each side by '23'. n = -1 Simplifying n = -1
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