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Simplifying 10n + 7 + 5n = 8n + -21 Reorder the terms: 7 + 10n + 5n = 8n + -21 Combine like terms: 10n + 5n = 15n 7 + 15n = 8n + -21 Reorder the terms: 7 + 15n = -21 + 8n Solving 7 + 15n = -21 + 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. 7 + 15n + -8n = -21 + 8n + -8n Combine like terms: 15n + -8n = 7n 7 + 7n = -21 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + 7n = -21 + 0 7 + 7n = -21 Add '-7' to each side of the equation. 7 + -7 + 7n = -21 + -7 Combine like terms: 7 + -7 = 0 0 + 7n = -21 + -7 7n = -21 + -7 Combine like terms: -21 + -7 = -28 7n = -28 Divide each side by '7'. n = -4 Simplifying n = -4
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