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Simplifying 6n + 3 + 2n + -5 = 4n + -6 + 2n + -7 + n Reorder the terms: 3 + -5 + 6n + 2n = 4n + -6 + 2n + -7 + n Combine like terms: 3 + -5 = -2 -2 + 6n + 2n = 4n + -6 + 2n + -7 + n Combine like terms: 6n + 2n = 8n -2 + 8n = 4n + -6 + 2n + -7 + n Reorder the terms: -2 + 8n = -6 + -7 + 4n + 2n + n Combine like terms: -6 + -7 = -13 -2 + 8n = -13 + 4n + 2n + n Combine like terms: 4n + 2n = 6n -2 + 8n = -13 + 6n + n Combine like terms: 6n + n = 7n -2 + 8n = -13 + 7n Solving -2 + 8n = -13 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -2 + 8n + -7n = -13 + 7n + -7n Combine like terms: 8n + -7n = 1n -2 + 1n = -13 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + 1n = -13 + 0 -2 + 1n = -13 Add '2' to each side of the equation. -2 + 2 + 1n = -13 + 2 Combine like terms: -2 + 2 = 0 0 + 1n = -13 + 2 1n = -13 + 2 Combine like terms: -13 + 2 = -11 1n = -11 Divide each side by '1'. n = -11 Simplifying n = -11
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