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Simplifying -10.04 + -9.9n + -8.7n = -2.82 + -14.8n Combine like terms: -9.9n + -8.7n = -18.6n -10.04 + -18.6n = -2.82 + -14.8n Solving -10.04 + -18.6n = -2.82 + -14.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14.8n' to each side of the equation. -10.04 + -18.6n + 14.8n = -2.82 + -14.8n + 14.8n Combine like terms: -18.6n + 14.8n = -3.8n -10.04 + -3.8n = -2.82 + -14.8n + 14.8n Combine like terms: -14.8n + 14.8n = 0.0 -10.04 + -3.8n = -2.82 + 0.0 -10.04 + -3.8n = -2.82 Add '10.04' to each side of the equation. -10.04 + 10.04 + -3.8n = -2.82 + 10.04 Combine like terms: -10.04 + 10.04 = 0.00 0.00 + -3.8n = -2.82 + 10.04 -3.8n = -2.82 + 10.04 Combine like terms: -2.82 + 10.04 = 7.22 -3.8n = 7.22 Divide each side by '-3.8'. n = -1.9 Simplifying n = -1.9
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