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Simplifying 4n + -2 = 10n + 46 Reorder the terms: -2 + 4n = 10n + 46 Reorder the terms: -2 + 4n = 46 + 10n Solving -2 + 4n = 46 + 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. -2 + 4n + -10n = 46 + 10n + -10n Combine like terms: 4n + -10n = -6n -2 + -6n = 46 + 10n + -10n Combine like terms: 10n + -10n = 0 -2 + -6n = 46 + 0 -2 + -6n = 46 Add '2' to each side of the equation. -2 + 2 + -6n = 46 + 2 Combine like terms: -2 + 2 = 0 0 + -6n = 46 + 2 -6n = 46 + 2 Combine like terms: 46 + 2 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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