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Simplifying 6(7 + -6n) = 114 (7 * 6 + -6n * 6) = 114 (42 + -36n) = 114 Solving 42 + -36n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -36n = 114 + -42 Combine like terms: 42 + -42 = 0 0 + -36n = 114 + -42 -36n = 114 + -42 Combine like terms: 114 + -42 = 72 -36n = 72 Divide each side by '-36'. n = -2 Simplifying n = -2
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