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Simplifying -108 = n + 6(7 + 4n) -108 = n + (7 * 6 + 4n * 6) -108 = n + (42 + 24n) Reorder the terms: -108 = 42 + n + 24n Combine like terms: n + 24n = 25n -108 = 42 + 25n Solving -108 = 42 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -108 + -25n = 42 + 25n + -25n Combine like terms: 25n + -25n = 0 -108 + -25n = 42 + 0 -108 + -25n = 42 Add '108' to each side of the equation. -108 + 108 + -25n = 42 + 108 Combine like terms: -108 + 108 = 0 0 + -25n = 42 + 108 -25n = 42 + 108 Combine like terms: 42 + 108 = 150 -25n = 150 Divide each side by '-25'. n = -6 Simplifying n = -6
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