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Simplifying 114 = 7n + 6(3n + -6) Reorder the terms: 114 = 7n + 6(-6 + 3n) 114 = 7n + (-6 * 6 + 3n * 6) 114 = 7n + (-36 + 18n) Reorder the terms: 114 = -36 + 7n + 18n Combine like terms: 7n + 18n = 25n 114 = -36 + 25n Solving 114 = -36 + 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. 114 + -25n = -36 + 25n + -25n Combine like terms: 25n + -25n = 0 114 + -25n = -36 + 0 114 + -25n = -36 Add '-114' to each side of the equation. 114 + -114 + -25n = -36 + -114 Combine like terms: 114 + -114 = 0 0 + -25n = -36 + -114 -25n = -36 + -114 Combine like terms: -36 + -114 = -150 -25n = -150 Divide each side by '-25'. n = 6 Simplifying n = 6
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