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Simplifying 3 + -2(-5n + -2) = 47 Reorder the terms: 3 + -2(-2 + -5n) = 47 3 + (-2 * -2 + -5n * -2) = 47 3 + (4 + 10n) = 47 Combine like terms: 3 + 4 = 7 7 + 10n = 47 Solving 7 + 10n = 47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10n = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 10n = 47 + -7 10n = 47 + -7 Combine like terms: 47 + -7 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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