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Simplifying -5n + 6 = -35 + 42 + -6n Reorder the terms: 6 + -5n = -35 + 42 + -6n Combine like terms: -35 + 42 = 7 6 + -5n = 7 + -6n Solving 6 + -5n = 7 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 6 + -5n + 6n = 7 + -6n + 6n Combine like terms: -5n + 6n = 1n 6 + 1n = 7 + -6n + 6n Combine like terms: -6n + 6n = 0 6 + 1n = 7 + 0 6 + 1n = 7 Add '-6' to each side of the equation. 6 + -6 + 1n = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1n = 7 + -6 1n = 7 + -6 Combine like terms: 7 + -6 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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