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Simplifying 7n + -2 = 40 + n Reorder the terms: -2 + 7n = 40 + n Solving -2 + 7n = 40 + 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. -2 + 7n + -1n = 40 + n + -1n Combine like terms: 7n + -1n = 6n -2 + 6n = 40 + n + -1n Combine like terms: n + -1n = 0 -2 + 6n = 40 + 0 -2 + 6n = 40 Add '2' to each side of the equation. -2 + 2 + 6n = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 6n = 40 + 2 6n = 40 + 2 Combine like terms: 40 + 2 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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