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Simplifying 0.4n + -18 = 3n + -27 + -0.8n Reorder the terms: -18 + 0.4n = 3n + -27 + -0.8n Reorder the terms: -18 + 0.4n = -27 + 3n + -0.8n Combine like terms: 3n + -0.8n = 2.2n -18 + 0.4n = -27 + 2.2n Solving -18 + 0.4n = -27 + 2.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.2n' to each side of the equation. -18 + 0.4n + -2.2n = -27 + 2.2n + -2.2n Combine like terms: 0.4n + -2.2n = -1.8n -18 + -1.8n = -27 + 2.2n + -2.2n Combine like terms: 2.2n + -2.2n = 0.0 -18 + -1.8n = -27 + 0.0 -18 + -1.8n = -27 Add '18' to each side of the equation. -18 + 18 + -1.8n = -27 + 18 Combine like terms: -18 + 18 = 0 0 + -1.8n = -27 + 18 -1.8n = -27 + 18 Combine like terms: -27 + 18 = -9 -1.8n = -9 Divide each side by '-1.8'. n = 5 Simplifying n = 5
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