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Simplifying -13 + 8n = -2n + 7 Reorder the terms: -13 + 8n = 7 + -2n Solving -13 + 8n = 7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -13 + 8n + 2n = 7 + -2n + 2n Combine like terms: 8n + 2n = 10n -13 + 10n = 7 + -2n + 2n Combine like terms: -2n + 2n = 0 -13 + 10n = 7 + 0 -13 + 10n = 7 Add '13' to each side of the equation. -13 + 13 + 10n = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 10n = 7 + 13 10n = 7 + 13 Combine like terms: 7 + 13 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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