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Simplifying -4(-1.6 + -8.2n) = 11.4 + 33.8n (-1.6 * -4 + -8.2n * -4) = 11.4 + 33.8n (6.4 + 32.8n) = 11.4 + 33.8n Solving 6.4 + 32.8n = 11.4 + 33.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33.8n' to each side of the equation. 6.4 + 32.8n + -33.8n = 11.4 + 33.8n + -33.8n Combine like terms: 32.8n + -33.8n = -1n 6.4 + -1n = 11.4 + 33.8n + -33.8n Combine like terms: 33.8n + -33.8n = 0.0 6.4 + -1n = 11.4 + 0.0 6.4 + -1n = 11.4 Add '-6.4' to each side of the equation. 6.4 + -6.4 + -1n = 11.4 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -1n = 11.4 + -6.4 -1n = 11.4 + -6.4 Combine like terms: 11.4 + -6.4 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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