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Simplifying 2(5n + 2) + -5 = -31 + 4n Reorder the terms: 2(2 + 5n) + -5 = -31 + 4n (2 * 2 + 5n * 2) + -5 = -31 + 4n (4 + 10n) + -5 = -31 + 4n Reorder the terms: 4 + -5 + 10n = -31 + 4n Combine like terms: 4 + -5 = -1 -1 + 10n = -31 + 4n Solving -1 + 10n = -31 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -1 + 10n + -4n = -31 + 4n + -4n Combine like terms: 10n + -4n = 6n -1 + 6n = -31 + 4n + -4n Combine like terms: 4n + -4n = 0 -1 + 6n = -31 + 0 -1 + 6n = -31 Add '1' to each side of the equation. -1 + 1 + 6n = -31 + 1 Combine like terms: -1 + 1 = 0 0 + 6n = -31 + 1 6n = -31 + 1 Combine like terms: -31 + 1 = -30 6n = -30 Divide each side by '6'. n = -5 Simplifying n = -5
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