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Simplifying 5n + -4 = 10n + 31 Reorder the terms: -4 + 5n = 10n + 31 Reorder the terms: -4 + 5n = 31 + 10n Solving -4 + 5n = 31 + 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. -4 + 5n + -10n = 31 + 10n + -10n Combine like terms: 5n + -10n = -5n -4 + -5n = 31 + 10n + -10n Combine like terms: 10n + -10n = 0 -4 + -5n = 31 + 0 -4 + -5n = 31 Add '4' to each side of the equation. -4 + 4 + -5n = 31 + 4 Combine like terms: -4 + 4 = 0 0 + -5n = 31 + 4 -5n = 31 + 4 Combine like terms: 31 + 4 = 35 -5n = 35 Divide each side by '-5'. n = -7 Simplifying n = -7
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