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Simplifying 2n + 7 = 10n + -9 Reorder the terms: 7 + 2n = 10n + -9 Reorder the terms: 7 + 2n = -9 + 10n Solving 7 + 2n = -9 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 7 + 2n + -10n = -9 + 10n + -10n Combine like terms: 2n + -10n = -8n 7 + -8n = -9 + 10n + -10n Combine like terms: 10n + -10n = 0 7 + -8n = -9 + 0 7 + -8n = -9 Add '-7' to each side of the equation. 7 + -7 + -8n = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = -9 + -7 -8n = -9 + -7 Combine like terms: -9 + -7 = -16 -8n = -16 Divide each side by '-8'. n = 2 Simplifying n = 2
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