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Simplifying 3n + -6 = 9 + 8(n + 3) Reorder the terms: -6 + 3n = 9 + 8(n + 3) Reorder the terms: -6 + 3n = 9 + 8(3 + n) -6 + 3n = 9 + (3 * 8 + n * 8) -6 + 3n = 9 + (24 + 8n) Combine like terms: 9 + 24 = 33 -6 + 3n = 33 + 8n Solving -6 + 3n = 33 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -6 + 3n + -8n = 33 + 8n + -8n Combine like terms: 3n + -8n = -5n -6 + -5n = 33 + 8n + -8n Combine like terms: 8n + -8n = 0 -6 + -5n = 33 + 0 -6 + -5n = 33 Add '6' to each side of the equation. -6 + 6 + -5n = 33 + 6 Combine like terms: -6 + 6 = 0 0 + -5n = 33 + 6 -5n = 33 + 6 Combine like terms: 33 + 6 = 39 -5n = 39 Divide each side by '-5'. n = -7.8 Simplifying n = -7.8
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