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Simplifying -2 + 6n + 7 + -8 = n + -8 Reorder the terms: -2 + 7 + -8 + 6n = n + -8 Combine like terms: -2 + 7 = 5 5 + -8 + 6n = n + -8 Combine like terms: 5 + -8 = -3 -3 + 6n = n + -8 Reorder the terms: -3 + 6n = -8 + n Solving -3 + 6n = -8 + 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. -3 + 6n + -1n = -8 + n + -1n Combine like terms: 6n + -1n = 5n -3 + 5n = -8 + n + -1n Combine like terms: n + -1n = 0 -3 + 5n = -8 + 0 -3 + 5n = -8 Add '3' to each side of the equation. -3 + 3 + 5n = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = -8 + 3 5n = -8 + 3 Combine like terms: -8 + 3 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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