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Simplifying 2n + 3 + 6(n + -7) = 5n + -6 Reorder the terms: 2n + 3 + 6(-7 + n) = 5n + -6 2n + 3 + (-7 * 6 + n * 6) = 5n + -6 2n + 3 + (-42 + 6n) = 5n + -6 Reorder the terms: 3 + -42 + 2n + 6n = 5n + -6 Combine like terms: 3 + -42 = -39 -39 + 2n + 6n = 5n + -6 Combine like terms: 2n + 6n = 8n -39 + 8n = 5n + -6 Reorder the terms: -39 + 8n = -6 + 5n Solving -39 + 8n = -6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -39 + 8n + -5n = -6 + 5n + -5n Combine like terms: 8n + -5n = 3n -39 + 3n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 -39 + 3n = -6 + 0 -39 + 3n = -6 Add '39' to each side of the equation. -39 + 39 + 3n = -6 + 39 Combine like terms: -39 + 39 = 0 0 + 3n = -6 + 39 3n = -6 + 39 Combine like terms: -6 + 39 = 33 3n = 33 Divide each side by '3'. n = 11 Simplifying n = 11
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