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Simplifying -3 + -8n + -12 = 3n + -6 + -2n Reorder the terms: -3 + -12 + -8n = 3n + -6 + -2n Combine like terms: -3 + -12 = -15 -15 + -8n = 3n + -6 + -2n Reorder the terms: -15 + -8n = -6 + 3n + -2n Combine like terms: 3n + -2n = 1n -15 + -8n = -6 + 1n Solving -15 + -8n = -6 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -15 + -8n + -1n = -6 + 1n + -1n Combine like terms: -8n + -1n = -9n -15 + -9n = -6 + 1n + -1n Combine like terms: 1n + -1n = 0 -15 + -9n = -6 + 0 -15 + -9n = -6 Add '15' to each side of the equation. -15 + 15 + -9n = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -9n = -6 + 15 -9n = -6 + 15 Combine like terms: -6 + 15 = 9 -9n = 9 Divide each side by '-9'. n = -1 Simplifying n = -1
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