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Simplifying 2.6 + 8.4n = -1(-8n + -2) Reorder the terms: 2.6 + 8.4n = -1(-2 + -8n) 2.6 + 8.4n = (-2 * -1 + -8n * -1) 2.6 + 8.4n = (2 + 8n) Solving 2.6 + 8.4n = 2 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 2.6 + 8.4n + -8n = 2 + 8n + -8n Combine like terms: 8.4n + -8n = 0.4n 2.6 + 0.4n = 2 + 8n + -8n Combine like terms: 8n + -8n = 0 2.6 + 0.4n = 2 + 0 2.6 + 0.4n = 2 Add '-2.6' to each side of the equation. 2.6 + -2.6 + 0.4n = 2 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 0.4n = 2 + -2.6 0.4n = 2 + -2.6 Combine like terms: 2 + -2.6 = -0.6 0.4n = -0.6 Divide each side by '0.4'. n = -1.5 Simplifying n = -1.5
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