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Simplifying 7 + 19n + -5 = 5n + 155 + -3n Reorder the terms: 7 + -5 + 19n = 5n + 155 + -3n Combine like terms: 7 + -5 = 2 2 + 19n = 5n + 155 + -3n Reorder the terms: 2 + 19n = 155 + 5n + -3n Combine like terms: 5n + -3n = 2n 2 + 19n = 155 + 2n Solving 2 + 19n = 155 + 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 + 19n + -2n = 155 + 2n + -2n Combine like terms: 19n + -2n = 17n 2 + 17n = 155 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 17n = 155 + 0 2 + 17n = 155 Add '-2' to each side of the equation. 2 + -2 + 17n = 155 + -2 Combine like terms: 2 + -2 = 0 0 + 17n = 155 + -2 17n = 155 + -2 Combine like terms: 155 + -2 = 153 17n = 153 Divide each side by '17'. n = 9 Simplifying n = 9
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