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Simplifying 6(3n + 1) + -3(-1 + 2n) = n + 2 Reorder the terms: 6(1 + 3n) + -3(-1 + 2n) = n + 2 (1 * 6 + 3n * 6) + -3(-1 + 2n) = n + 2 (6 + 18n) + -3(-1 + 2n) = n + 2 6 + 18n + (-1 * -3 + 2n * -3) = n + 2 6 + 18n + (3 + -6n) = n + 2 Reorder the terms: 6 + 3 + 18n + -6n = n + 2 Combine like terms: 6 + 3 = 9 9 + 18n + -6n = n + 2 Combine like terms: 18n + -6n = 12n 9 + 12n = n + 2 Reorder the terms: 9 + 12n = 2 + n Solving 9 + 12n = 2 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 9 + 12n + -1n = 2 + n + -1n Combine like terms: 12n + -1n = 11n 9 + 11n = 2 + n + -1n Combine like terms: n + -1n = 0 9 + 11n = 2 + 0 9 + 11n = 2 Add '-9' to each side of the equation. 9 + -9 + 11n = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 11n = 2 + -9 11n = 2 + -9 Combine like terms: 2 + -9 = -7 11n = -7 Divide each side by '11'. n = -0.6363636364 Simplifying n = -0.6363636364
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