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Simplifying -15(19n + 3) = -45 + -8n Reorder the terms: -15(3 + 19n) = -45 + -8n (3 * -15 + 19n * -15) = -45 + -8n (-45 + -285n) = -45 + -8n Add '45' to each side of the equation. -45 + 45 + -285n = -45 + 45 + -8n Combine like terms: -45 + 45 = 0 0 + -285n = -45 + 45 + -8n -285n = -45 + 45 + -8n Combine like terms: -45 + 45 = 0 -285n = 0 + -8n -285n = -8n Solving -285n = -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -285n + 8n = -8n + 8n Combine like terms: -285n + 8n = -277n -277n = -8n + 8n Combine like terms: -8n + 8n = 0 -277n = 0 Divide each side by '-277'. n = 0 Simplifying n = 0
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