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Simplifying n2 + -7n + 16 = n2 + 8n + 16 Reorder the terms: 16 + -7n + n2 = n2 + 8n + 16 Reorder the terms: 16 + -7n + n2 = 16 + 8n + n2 Add '-16' to each side of the equation. 16 + -7n + -16 + n2 = 16 + 8n + -16 + n2 Reorder the terms: 16 + -16 + -7n + n2 = 16 + 8n + -16 + n2 Combine like terms: 16 + -16 = 0 0 + -7n + n2 = 16 + 8n + -16 + n2 -7n + n2 = 16 + 8n + -16 + n2 Reorder the terms: -7n + n2 = 16 + -16 + 8n + n2 Combine like terms: 16 + -16 = 0 -7n + n2 = 0 + 8n + n2 -7n + n2 = 8n + n2 Add '-1n2' to each side of the equation. -7n + n2 + -1n2 = 8n + n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -7n + 0 = 8n + n2 + -1n2 -7n = 8n + n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -7n = 8n + 0 -7n = 8n Solving -7n = 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. -7n + -8n = 8n + -8n Combine like terms: -7n + -8n = -15n -15n = 8n + -8n Combine like terms: 8n + -8n = 0 -15n = 0 Divide each side by '-15'. n = 0 Simplifying n = 0
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