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Simplifying 6n + 51 = 8n + -7 Reorder the terms: 51 + 6n = 8n + -7 Reorder the terms: 51 + 6n = -7 + 8n Solving 51 + 6n = -7 + 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. 51 + 6n + -8n = -7 + 8n + -8n Combine like terms: 6n + -8n = -2n 51 + -2n = -7 + 8n + -8n Combine like terms: 8n + -8n = 0 51 + -2n = -7 + 0 51 + -2n = -7 Add '-51' to each side of the equation. 51 + -51 + -2n = -7 + -51 Combine like terms: 51 + -51 = 0 0 + -2n = -7 + -51 -2n = -7 + -51 Combine like terms: -7 + -51 = -58 -2n = -58 Divide each side by '-2'. n = 29 Simplifying n = 29
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