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Simplifying 8 + -2n + -2 = 5 + -3n Reorder the terms: 8 + -2 + -2n = 5 + -3n Combine like terms: 8 + -2 = 6 6 + -2n = 5 + -3n Solving 6 + -2n = 5 + -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. 6 + -2n + 3n = 5 + -3n + 3n Combine like terms: -2n + 3n = 1n 6 + 1n = 5 + -3n + 3n Combine like terms: -3n + 3n = 0 6 + 1n = 5 + 0 6 + 1n = 5 Add '-6' to each side of the equation. 6 + -6 + 1n = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1n = 5 + -6 1n = 5 + -6 Combine like terms: 5 + -6 = -1 1n = -1 Divide each side by '1'. n = -1 Simplifying n = -1
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