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Simplifying 4 + 18n + -2 = 9n + 114 + -7n Reorder the terms: 4 + -2 + 18n = 9n + 114 + -7n Combine like terms: 4 + -2 = 2 2 + 18n = 9n + 114 + -7n Reorder the terms: 2 + 18n = 114 + 9n + -7n Combine like terms: 9n + -7n = 2n 2 + 18n = 114 + 2n Solving 2 + 18n = 114 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + 18n + -2n = 114 + 2n + -2n Combine like terms: 18n + -2n = 16n 2 + 16n = 114 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 16n = 114 + 0 2 + 16n = 114 Add '-2' to each side of the equation. 2 + -2 + 16n = 114 + -2 Combine like terms: 2 + -2 = 0 0 + 16n = 114 + -2 16n = 114 + -2 Combine like terms: 114 + -2 = 112 16n = 112 Divide each side by '16'. n = 7 Simplifying n = 7
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