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Simplifying 10 + 7 + 6n + -5 = 6 + 5n Reorder the terms: 10 + 7 + -5 + 6n = 6 + 5n Combine like terms: 10 + 7 = 17 17 + -5 + 6n = 6 + 5n Combine like terms: 17 + -5 = 12 12 + 6n = 6 + 5n Solving 12 + 6n = 6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 12 + 6n + -5n = 6 + 5n + -5n Combine like terms: 6n + -5n = 1n 12 + 1n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + 1n = 6 + 0 12 + 1n = 6 Add '-12' to each side of the equation. 12 + -12 + 1n = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 6 + -12 1n = 6 + -12 Combine like terms: 6 + -12 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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