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Simplifying 8(n + -2) = 2(2n + 6) Reorder the terms: 8(-2 + n) = 2(2n + 6) (-2 * 8 + n * 8) = 2(2n + 6) (-16 + 8n) = 2(2n + 6) Reorder the terms: -16 + 8n = 2(6 + 2n) -16 + 8n = (6 * 2 + 2n * 2) -16 + 8n = (12 + 4n) Solving -16 + 8n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -16 + 8n + -4n = 12 + 4n + -4n Combine like terms: 8n + -4n = 4n -16 + 4n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -16 + 4n = 12 + 0 -16 + 4n = 12 Add '16' to each side of the equation. -16 + 16 + 4n = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = 12 + 16 4n = 12 + 16 Combine like terms: 12 + 16 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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