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Simplifying n + -12 = 8(n + 4) Reorder the terms: -12 + n = 8(n + 4) Reorder the terms: -12 + n = 8(4 + n) -12 + n = (4 * 8 + n * 8) -12 + n = (32 + 8n) Solving -12 + n = 32 + 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. -12 + n + -8n = 32 + 8n + -8n Combine like terms: n + -8n = -7n -12 + -7n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + -7n = 32 + 0 -12 + -7n = 32 Add '12' to each side of the equation. -12 + 12 + -7n = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -7n = 32 + 12 -7n = 32 + 12 Combine like terms: 32 + 12 = 44 -7n = 44 Divide each side by '-7'. n = -6.285714286 Simplifying n = -6.285714286
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