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Simplifying -1.5(n + -8) + 6.4 = 0.4 Reorder the terms: -1.5(-8 + n) + 6.4 = 0.4 (-8 * -1.5 + n * -1.5) + 6.4 = 0.4 (12 + -1.5n) + 6.4 = 0.4 Reorder the terms: 12 + 6.4 + -1.5n = 0.4 Combine like terms: 12 + 6.4 = 18.4 18.4 + -1.5n = 0.4 Solving 18.4 + -1.5n = 0.4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18.4' to each side of the equation. 18.4 + -18.4 + -1.5n = 0.4 + -18.4 Combine like terms: 18.4 + -18.4 = 0.0 0.0 + -1.5n = 0.4 + -18.4 -1.5n = 0.4 + -18.4 Combine like terms: 0.4 + -18.4 = -18 -1.5n = -18 Divide each side by '-1.5'. n = 12 Simplifying n = 12
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