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Simplifying 100 + 8n = 75 + 10n Solving 100 + 8n = 75 + 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. 100 + 8n + -10n = 75 + 10n + -10n Combine like terms: 8n + -10n = -2n 100 + -2n = 75 + 10n + -10n Combine like terms: 10n + -10n = 0 100 + -2n = 75 + 0 100 + -2n = 75 Add '-100' to each side of the equation. 100 + -100 + -2n = 75 + -100 Combine like terms: 100 + -100 = 0 0 + -2n = 75 + -100 -2n = 75 + -100 Combine like terms: 75 + -100 = -25 -2n = -25 Divide each side by '-2'. n = 12.5 Simplifying n = 12.5
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