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Simplifying -8(12 + -5n) = 10(9 + -3n) + 8n (12 * -8 + -5n * -8) = 10(9 + -3n) + 8n (-96 + 40n) = 10(9 + -3n) + 8n -96 + 40n = (9 * 10 + -3n * 10) + 8n -96 + 40n = (90 + -30n) + 8n Combine like terms: -30n + 8n = -22n -96 + 40n = 90 + -22n Solving -96 + 40n = 90 + -22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22n' to each side of the equation. -96 + 40n + 22n = 90 + -22n + 22n Combine like terms: 40n + 22n = 62n -96 + 62n = 90 + -22n + 22n Combine like terms: -22n + 22n = 0 -96 + 62n = 90 + 0 -96 + 62n = 90 Add '96' to each side of the equation. -96 + 96 + 62n = 90 + 96 Combine like terms: -96 + 96 = 0 0 + 62n = 90 + 96 62n = 90 + 96 Combine like terms: 90 + 96 = 186 62n = 186 Divide each side by '62'. n = 3 Simplifying n = 3
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