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Simplifying 5n + 10 = 10n + -65 Reorder the terms: 10 + 5n = 10n + -65 Reorder the terms: 10 + 5n = -65 + 10n Solving 10 + 5n = -65 + 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. 10 + 5n + -10n = -65 + 10n + -10n Combine like terms: 5n + -10n = -5n 10 + -5n = -65 + 10n + -10n Combine like terms: 10n + -10n = 0 10 + -5n = -65 + 0 10 + -5n = -65 Add '-10' to each side of the equation. 10 + -10 + -5n = -65 + -10 Combine like terms: 10 + -10 = 0 0 + -5n = -65 + -10 -5n = -65 + -10 Combine like terms: -65 + -10 = -75 -5n = -75 Divide each side by '-5'. n = 15 Simplifying n = 15
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