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Simplifying 5 + 2n + -3 = 6n + 8 + -3n Reorder the terms: 5 + -3 + 2n = 6n + 8 + -3n Combine like terms: 5 + -3 = 2 2 + 2n = 6n + 8 + -3n Reorder the terms: 2 + 2n = 8 + 6n + -3n Combine like terms: 6n + -3n = 3n 2 + 2n = 8 + 3n Solving 2 + 2n = 8 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 2 + 2n + -3n = 8 + 3n + -3n Combine like terms: 2n + -3n = -1n 2 + -1n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + -1n = 8 + 0 2 + -1n = 8 Add '-2' to each side of the equation. 2 + -2 + -1n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 8 + -2 -1n = 8 + -2 Combine like terms: 8 + -2 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6
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