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Simplifying 3n + -6 = 3 + -1(6n + 2) Reorder the terms: -6 + 3n = 3 + -1(6n + 2) Reorder the terms: -6 + 3n = 3 + -1(2 + 6n) -6 + 3n = 3 + (2 * -1 + 6n * -1) -6 + 3n = 3 + (-2 + -6n) Combine like terms: 3 + -2 = 1 -6 + 3n = 1 + -6n Solving -6 + 3n = 1 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -6 + 3n + 6n = 1 + -6n + 6n Combine like terms: 3n + 6n = 9n -6 + 9n = 1 + -6n + 6n Combine like terms: -6n + 6n = 0 -6 + 9n = 1 + 0 -6 + 9n = 1 Add '6' to each side of the equation. -6 + 6 + 9n = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 9n = 1 + 6 9n = 1 + 6 Combine like terms: 1 + 6 = 7 9n = 7 Divide each side by '9'. n = 0.7777777778 Simplifying n = 0.7777777778
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