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Simplifying 0.5(8 + -1n) = 30 (8 * 0.5 + -1n * 0.5) = 30 (4 + -0.5n) = 30 Solving 4 + -0.5n = 30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -0.5n = 30 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5n = 30 + -4 -0.5n = 30 + -4 Combine like terms: 30 + -4 = 26 -0.5n = 26 Divide each side by '-0.5'. n = -52 Simplifying n = -52
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