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Simplifying 8 + 3n + -1 = 9n + 19 + -3n Reorder the terms: 8 + -1 + 3n = 9n + 19 + -3n Combine like terms: 8 + -1 = 7 7 + 3n = 9n + 19 + -3n Reorder the terms: 7 + 3n = 19 + 9n + -3n Combine like terms: 9n + -3n = 6n 7 + 3n = 19 + 6n Solving 7 + 3n = 19 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 7 + 3n + -6n = 19 + 6n + -6n Combine like terms: 3n + -6n = -3n 7 + -3n = 19 + 6n + -6n Combine like terms: 6n + -6n = 0 7 + -3n = 19 + 0 7 + -3n = 19 Add '-7' to each side of the equation. 7 + -7 + -3n = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 19 + -7 -3n = 19 + -7 Combine like terms: 19 + -7 = 12 -3n = 12 Divide each side by '-3'. n = -4 Simplifying n = -4
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