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Simplifying 10n + -7 = 8n + 21 Reorder the terms: -7 + 10n = 8n + 21 Reorder the terms: -7 + 10n = 21 + 8n Solving -7 + 10n = 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 + 10n + -8n = 21 + 8n + -8n Combine like terms: 10n + -8n = 2n -7 + 2n = 21 + 8n + -8n Combine like terms: 8n + -8n = 0 -7 + 2n = 21 + 0 -7 + 2n = 21 Add '7' to each side of the equation. -7 + 7 + 2n = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 2n = 21 + 7 2n = 21 + 7 Combine like terms: 21 + 7 = 28 2n = 28 Divide each side by '2'. n = 14 Simplifying n = 14
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