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Simplifying 10n + -2 = 5n + -42 Reorder the terms: -2 + 10n = 5n + -42 Reorder the terms: -2 + 10n = -42 + 5n Solving -2 + 10n = -42 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -2 + 10n + -5n = -42 + 5n + -5n Combine like terms: 10n + -5n = 5n -2 + 5n = -42 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + 5n = -42 + 0 -2 + 5n = -42 Add '2' to each side of the equation. -2 + 2 + 5n = -42 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = -42 + 2 5n = -42 + 2 Combine like terms: -42 + 2 = -40 5n = -40 Divide each side by '5'. n = -8 Simplifying n = -8
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