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Simplifying 8n + 32 = 4(7n + -7) Reorder the terms: 32 + 8n = 4(7n + -7) Reorder the terms: 32 + 8n = 4(-7 + 7n) 32 + 8n = (-7 * 4 + 7n * 4) 32 + 8n = (-28 + 28n) Solving 32 + 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. 32 + 8n + -28n = -28 + 28n + -28n Combine like terms: 8n + -28n = -20n 32 + -20n = -28 + 28n + -28n Combine like terms: 28n + -28n = 0 32 + -20n = -28 + 0 32 + -20n = -28 Add '-32' to each side of the equation. 32 + -32 + -20n = -28 + -32 Combine like terms: 32 + -32 = 0 0 + -20n = -28 + -32 -20n = -28 + -32 Combine like terms: -28 + -32 = -60 -20n = -60 Divide each side by '-20'. n = 3 Simplifying n = 3
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