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Simplifying 4n + 2(n + -3) = 8n + 12 Reorder the terms: 4n + 2(-3 + n) = 8n + 12 4n + (-3 * 2 + n * 2) = 8n + 12 4n + (-6 + 2n) = 8n + 12 Reorder the terms: -6 + 4n + 2n = 8n + 12 Combine like terms: 4n + 2n = 6n -6 + 6n = 8n + 12 Reorder the terms: -6 + 6n = 12 + 8n Solving -6 + 6n = 12 + 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 + 6n + -8n = 12 + 8n + -8n Combine like terms: 6n + -8n = -2n -6 + -2n = 12 + 8n + -8n Combine like terms: 8n + -8n = 0 -6 + -2n = 12 + 0 -6 + -2n = 12 Add '6' to each side of the equation. -6 + 6 + -2n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = 12 + 6 -2n = 12 + 6 Combine like terms: 12 + 6 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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