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Simplifying 6n + 5(-7n + 6) = 30 + 2n Reorder the terms: 6n + 5(6 + -7n) = 30 + 2n 6n + (6 * 5 + -7n * 5) = 30 + 2n 6n + (30 + -35n) = 30 + 2n Reorder the terms: 30 + 6n + -35n = 30 + 2n Combine like terms: 6n + -35n = -29n 30 + -29n = 30 + 2n Add '-30' to each side of the equation. 30 + -30 + -29n = 30 + -30 + 2n Combine like terms: 30 + -30 = 0 0 + -29n = 30 + -30 + 2n -29n = 30 + -30 + 2n Combine like terms: 30 + -30 = 0 -29n = 0 + 2n -29n = 2n Solving -29n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -29n + -2n = 2n + -2n Combine like terms: -29n + -2n = -31n -31n = 2n + -2n Combine like terms: 2n + -2n = 0 -31n = 0 Divide each side by '-31'. n = 0 Simplifying n = 0
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