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Simplifying -6(3n + -2) = 7(3 + -1n) Reorder the terms: -6(-2 + 3n) = 7(3 + -1n) (-2 * -6 + 3n * -6) = 7(3 + -1n) (12 + -18n) = 7(3 + -1n) 12 + -18n = (3 * 7 + -1n * 7) 12 + -18n = (21 + -7n) Solving 12 + -18n = 21 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 12 + -18n + 7n = 21 + -7n + 7n Combine like terms: -18n + 7n = -11n 12 + -11n = 21 + -7n + 7n Combine like terms: -7n + 7n = 0 12 + -11n = 21 + 0 12 + -11n = 21 Add '-12' to each side of the equation. 12 + -12 + -11n = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -11n = 21 + -12 -11n = 21 + -12 Combine like terms: 21 + -12 = 9 -11n = 9 Divide each side by '-11'. n = -0.8181818182 Simplifying n = -0.8181818182
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