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Simplifying 3(-0.9n + 0.5) = -3.5n + 1.3 Reorder the terms: 3(0.5 + -0.9n) = -3.5n + 1.3 (0.5 * 3 + -0.9n * 3) = -3.5n + 1.3 (1.5 + -2.7n) = -3.5n + 1.3 Reorder the terms: 1.5 + -2.7n = 1.3 + -3.5n Solving 1.5 + -2.7n = 1.3 + -3.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.5n' to each side of the equation. 1.5 + -2.7n + 3.5n = 1.3 + -3.5n + 3.5n Combine like terms: -2.7n + 3.5n = 0.8n 1.5 + 0.8n = 1.3 + -3.5n + 3.5n Combine like terms: -3.5n + 3.5n = 0.0 1.5 + 0.8n = 1.3 + 0.0 1.5 + 0.8n = 1.3 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.8n = 1.3 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.8n = 1.3 + -1.5 0.8n = 1.3 + -1.5 Combine like terms: 1.3 + -1.5 = -0.2 0.8n = -0.2 Divide each side by '0.8'. n = -0.25 Simplifying n = -0.25
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