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Simplifying -27 + 8n = 5(2n + -3) Reorder the terms: -27 + 8n = 5(-3 + 2n) -27 + 8n = (-3 * 5 + 2n * 5) -27 + 8n = (-15 + 10n) Solving -27 + 8n = -15 + 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. -27 + 8n + -10n = -15 + 10n + -10n Combine like terms: 8n + -10n = -2n -27 + -2n = -15 + 10n + -10n Combine like terms: 10n + -10n = 0 -27 + -2n = -15 + 0 -27 + -2n = -15 Add '27' to each side of the equation. -27 + 27 + -2n = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -2n = -15 + 27 -2n = -15 + 27 Combine like terms: -15 + 27 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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