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Simplifying 6n + 3 + -7n = 11 + -2n + 1 Reorder the terms: 3 + 6n + -7n = 11 + -2n + 1 Combine like terms: 6n + -7n = -1n 3 + -1n = 11 + -2n + 1 Reorder the terms: 3 + -1n = 11 + 1 + -2n Combine like terms: 11 + 1 = 12 3 + -1n = 12 + -2n Solving 3 + -1n = 12 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 3 + -1n + 2n = 12 + -2n + 2n Combine like terms: -1n + 2n = 1n 3 + 1n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 3 + 1n = 12 + 0 3 + 1n = 12 Add '-3' to each side of the equation. 3 + -3 + 1n = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1n = 12 + -3 1n = 12 + -3 Combine like terms: 12 + -3 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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