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Simplifying 8 + 2n + -3 = 7n + 19 + -3n Reorder the terms: 8 + -3 + 2n = 7n + 19 + -3n Combine like terms: 8 + -3 = 5 5 + 2n = 7n + 19 + -3n Reorder the terms: 5 + 2n = 19 + 7n + -3n Combine like terms: 7n + -3n = 4n 5 + 2n = 19 + 4n Solving 5 + 2n = 19 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + 2n + -4n = 19 + 4n + -4n Combine like terms: 2n + -4n = -2n 5 + -2n = 19 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + -2n = 19 + 0 5 + -2n = 19 Add '-5' to each side of the equation. 5 + -5 + -2n = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = 19 + -5 -2n = 19 + -5 Combine like terms: 19 + -5 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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