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Simplifying 4n + -5 = 10n + 7 Reorder the terms: -5 + 4n = 10n + 7 Reorder the terms: -5 + 4n = 7 + 10n Solving -5 + 4n = 7 + 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. -5 + 4n + -10n = 7 + 10n + -10n Combine like terms: 4n + -10n = -6n -5 + -6n = 7 + 10n + -10n Combine like terms: 10n + -10n = 0 -5 + -6n = 7 + 0 -5 + -6n = 7 Add '5' to each side of the equation. -5 + 5 + -6n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6n = 7 + 5 -6n = 7 + 5 Combine like terms: 7 + 5 = 12 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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