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Simplifying 6(n + -12) + 5(n + -13) = 6 Reorder the terms: 6(-12 + n) + 5(n + -13) = 6 (-12 * 6 + n * 6) + 5(n + -13) = 6 (-72 + 6n) + 5(n + -13) = 6 Reorder the terms: -72 + 6n + 5(-13 + n) = 6 -72 + 6n + (-13 * 5 + n * 5) = 6 -72 + 6n + (-65 + 5n) = 6 Reorder the terms: -72 + -65 + 6n + 5n = 6 Combine like terms: -72 + -65 = -137 -137 + 6n + 5n = 6 Combine like terms: 6n + 5n = 11n -137 + 11n = 6 Solving -137 + 11n = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '137' to each side of the equation. -137 + 137 + 11n = 6 + 137 Combine like terms: -137 + 137 = 0 0 + 11n = 6 + 137 11n = 6 + 137 Combine like terms: 6 + 137 = 143 11n = 143 Divide each side by '11'. n = 13 Simplifying n = 13
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