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Simplifying -8 + 3n = n + 6 + -6 Reorder the terms: -8 + 3n = 6 + -6 + n Combine like terms: 6 + -6 = 0 -8 + 3n = 0 + n -8 + 3n = n Solving -8 + 3n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -8 + 3n + -1n = n + -1n Combine like terms: 3n + -1n = 2n -8 + 2n = n + -1n Combine like terms: n + -1n = 0 -8 + 2n = 0 Add '8' to each side of the equation. -8 + 8 + 2n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 0 + 8 2n = 0 + 8 Combine like terms: 0 + 8 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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