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Simplifying 5(2n + -3) = 2n + -31 Reorder the terms: 5(-3 + 2n) = 2n + -31 (-3 * 5 + 2n * 5) = 2n + -31 (-15 + 10n) = 2n + -31 Reorder the terms: -15 + 10n = -31 + 2n Solving -15 + 10n = -31 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -15 + 10n + -2n = -31 + 2n + -2n Combine like terms: 10n + -2n = 8n -15 + 8n = -31 + 2n + -2n Combine like terms: 2n + -2n = 0 -15 + 8n = -31 + 0 -15 + 8n = -31 Add '15' to each side of the equation. -15 + 15 + 8n = -31 + 15 Combine like terms: -15 + 15 = 0 0 + 8n = -31 + 15 8n = -31 + 15 Combine like terms: -31 + 15 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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