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Simplifying 6n + -46 = 3n + -7 Reorder the terms: -46 + 6n = 3n + -7 Reorder the terms: -46 + 6n = -7 + 3n Solving -46 + 6n = -7 + 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. -46 + 6n + -3n = -7 + 3n + -3n Combine like terms: 6n + -3n = 3n -46 + 3n = -7 + 3n + -3n Combine like terms: 3n + -3n = 0 -46 + 3n = -7 + 0 -46 + 3n = -7 Add '46' to each side of the equation. -46 + 46 + 3n = -7 + 46 Combine like terms: -46 + 46 = 0 0 + 3n = -7 + 46 3n = -7 + 46 Combine like terms: -7 + 46 = 39 3n = 39 Divide each side by '3'. n = 13 Simplifying n = 13
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