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Simplifying 8 + 3n + -6 = 7n + 10 + -3n Reorder the terms: 8 + -6 + 3n = 7n + 10 + -3n Combine like terms: 8 + -6 = 2 2 + 3n = 7n + 10 + -3n Reorder the terms: 2 + 3n = 10 + 7n + -3n Combine like terms: 7n + -3n = 4n 2 + 3n = 10 + 4n Solving 2 + 3n = 10 + 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. 2 + 3n + -4n = 10 + 4n + -4n Combine like terms: 3n + -4n = -1n 2 + -1n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + -1n = 10 + 0 2 + -1n = 10 Add '-2' to each side of the equation. 2 + -2 + -1n = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 10 + -2 -1n = 10 + -2 Combine like terms: 10 + -2 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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