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Simplifying -12 + 8n = 7(4n + 4) Reorder the terms: -12 + 8n = 7(4 + 4n) -12 + 8n = (4 * 7 + 4n * 7) -12 + 8n = (28 + 28n) Solving -12 + 8n = 28 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -12 + 8n + -28n = 28 + 28n + -28n Combine like terms: 8n + -28n = -20n -12 + -20n = 28 + 28n + -28n Combine like terms: 28n + -28n = 0 -12 + -20n = 28 + 0 -12 + -20n = 28 Add '12' to each side of the equation. -12 + 12 + -20n = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -20n = 28 + 12 -20n = 28 + 12 Combine like terms: 28 + 12 = 40 -20n = 40 Divide each side by '-20'. n = -2 Simplifying n = -2
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