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Simplifying 2(-6 + -7n) + 3n = -89 (-6 * 2 + -7n * 2) + 3n = -89 (-12 + -14n) + 3n = -89 Combine like terms: -14n + 3n = -11n -12 + -11n = -89 Solving -12 + -11n = -89 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -11n = -89 + 12 Combine like terms: -12 + 12 = 0 0 + -11n = -89 + 12 -11n = -89 + 12 Combine like terms: -89 + 12 = -77 -11n = -77 Divide each side by '-11'. n = 7 Simplifying n = 7
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