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Simplifying 4 + 19n + -3 = 9n + 109 + -2n Reorder the terms: 4 + -3 + 19n = 9n + 109 + -2n Combine like terms: 4 + -3 = 1 1 + 19n = 9n + 109 + -2n Reorder the terms: 1 + 19n = 109 + 9n + -2n Combine like terms: 9n + -2n = 7n 1 + 19n = 109 + 7n Solving 1 + 19n = 109 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 1 + 19n + -7n = 109 + 7n + -7n Combine like terms: 19n + -7n = 12n 1 + 12n = 109 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + 12n = 109 + 0 1 + 12n = 109 Add '-1' to each side of the equation. 1 + -1 + 12n = 109 + -1 Combine like terms: 1 + -1 = 0 0 + 12n = 109 + -1 12n = 109 + -1 Combine like terms: 109 + -1 = 108 12n = 108 Divide each side by '12'. n = 9 Simplifying n = 9
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