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Simplifying n + 6 = 3 + 7 + n + -2n Reorder the terms: 6 + n = 3 + 7 + n + -2n Combine like terms: 3 + 7 = 10 6 + n = 10 + n + -2n Combine like terms: n + -2n = -1n 6 + n = 10 + -1n Solving 6 + n = 10 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 6 + n + n = 10 + -1n + n Combine like terms: n + n = 2n 6 + 2n = 10 + -1n + n Combine like terms: -1n + n = 0 6 + 2n = 10 + 0 6 + 2n = 10 Add '-6' to each side of the equation. 6 + -6 + 2n = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2n = 10 + -6 2n = 10 + -6 Combine like terms: 10 + -6 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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