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Simplifying -6(-5 + -7n) = 114 (-5 * -6 + -7n * -6) = 114 (30 + 42n) = 114 Solving 30 + 42n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 42n = 114 + -30 Combine like terms: 30 + -30 = 0 0 + 42n = 114 + -30 42n = 114 + -30 Combine like terms: 114 + -30 = 84 42n = 84 Divide each side by '42'. n = 2 Simplifying n = 2
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