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Simplifying 10.7n + -19.44 + -19.9 = 13.8n + 19.25 Reorder the terms: -19.44 + -19.9 + 10.7n = 13.8n + 19.25 Combine like terms: -19.44 + -19.9 = -39.34 -39.34 + 10.7n = 13.8n + 19.25 Reorder the terms: -39.34 + 10.7n = 19.25 + 13.8n Solving -39.34 + 10.7n = 19.25 + 13.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13.8n' to each side of the equation. -39.34 + 10.7n + -13.8n = 19.25 + 13.8n + -13.8n Combine like terms: 10.7n + -13.8n = -3.1n -39.34 + -3.1n = 19.25 + 13.8n + -13.8n Combine like terms: 13.8n + -13.8n = 0.0 -39.34 + -3.1n = 19.25 + 0.0 -39.34 + -3.1n = 19.25 Add '39.34' to each side of the equation. -39.34 + 39.34 + -3.1n = 19.25 + 39.34 Combine like terms: -39.34 + 39.34 = 0.00 0.00 + -3.1n = 19.25 + 39.34 -3.1n = 19.25 + 39.34 Combine like terms: 19.25 + 39.34 = 58.59 -3.1n = 58.59 Divide each side by '-3.1'. n = -18.9 Simplifying n = -18.9
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