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Simplifying -6 + -7(3n + -5) = 116 Reorder the terms: -6 + -7(-5 + 3n) = 116 -6 + (-5 * -7 + 3n * -7) = 116 -6 + (35 + -21n) = 116 Combine like terms: -6 + 35 = 29 29 + -21n = 116 Solving 29 + -21n = 116 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -21n = 116 + -29 Combine like terms: 29 + -29 = 0 0 + -21n = 116 + -29 -21n = 116 + -29 Combine like terms: 116 + -29 = 87 -21n = 87 Divide each side by '-21'. n = -4.142857143 Simplifying n = -4.142857143
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