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Simplifying 4(5n + -2) = 32 + 10n Reorder the terms: 4(-2 + 5n) = 32 + 10n (-2 * 4 + 5n * 4) = 32 + 10n (-8 + 20n) = 32 + 10n Solving -8 + 20n = 32 + 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. -8 + 20n + -10n = 32 + 10n + -10n Combine like terms: 20n + -10n = 10n -8 + 10n = 32 + 10n + -10n Combine like terms: 10n + -10n = 0 -8 + 10n = 32 + 0 -8 + 10n = 32 Add '8' to each side of the equation. -8 + 8 + 10n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 10n = 32 + 8 10n = 32 + 8 Combine like terms: 32 + 8 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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