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Simplifying 121 = 7n + 6(1 + -5n) 121 = 7n + (1 * 6 + -5n * 6) 121 = 7n + (6 + -30n) Reorder the terms: 121 = 6 + 7n + -30n Combine like terms: 7n + -30n = -23n 121 = 6 + -23n Solving 121 = 6 + -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. 121 + 23n = 6 + -23n + 23n Combine like terms: -23n + 23n = 0 121 + 23n = 6 + 0 121 + 23n = 6 Add '-121' to each side of the equation. 121 + -121 + 23n = 6 + -121 Combine like terms: 121 + -121 = 0 0 + 23n = 6 + -121 23n = 6 + -121 Combine like terms: 6 + -121 = -115 23n = -115 Divide each side by '23'. n = -5 Simplifying n = -5
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