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Simplifying 7(1.8n + -4) = 13 + -5.2n Reorder the terms: 7(-4 + 1.8n) = 13 + -5.2n (-4 * 7 + 1.8n * 7) = 13 + -5.2n (-28 + 12.6n) = 13 + -5.2n Solving -28 + 12.6n = 13 + -5.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5.2n' to each side of the equation. -28 + 12.6n + 5.2n = 13 + -5.2n + 5.2n Combine like terms: 12.6n + 5.2n = 17.8n -28 + 17.8n = 13 + -5.2n + 5.2n Combine like terms: -5.2n + 5.2n = 0.0 -28 + 17.8n = 13 + 0.0 -28 + 17.8n = 13 Add '28' to each side of the equation. -28 + 28 + 17.8n = 13 + 28 Combine like terms: -28 + 28 = 0 0 + 17.8n = 13 + 28 17.8n = 13 + 28 Combine like terms: 13 + 28 = 41 17.8n = 41 Divide each side by '17.8'. n = 2.303370787 Simplifying n = 2.303370787
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