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Simplifying -12.4n + -17.29 = 19.21 + 9.7n + -17.1n Reorder the terms: -17.29 + -12.4n = 19.21 + 9.7n + -17.1n Combine like terms: 9.7n + -17.1n = -7.4n -17.29 + -12.4n = 19.21 + -7.4n Solving -17.29 + -12.4n = 19.21 + -7.4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7.4n' to each side of the equation. -17.29 + -12.4n + 7.4n = 19.21 + -7.4n + 7.4n Combine like terms: -12.4n + 7.4n = -5n -17.29 + -5n = 19.21 + -7.4n + 7.4n Combine like terms: -7.4n + 7.4n = 0.0 -17.29 + -5n = 19.21 + 0.0 -17.29 + -5n = 19.21 Add '17.29' to each side of the equation. -17.29 + 17.29 + -5n = 19.21 + 17.29 Combine like terms: -17.29 + 17.29 = 0.00 0.00 + -5n = 19.21 + 17.29 -5n = 19.21 + 17.29 Combine like terms: 19.21 + 17.29 = 36.5 -5n = 36.5 Divide each side by '-5'. n = -7.3 Simplifying n = -7.3
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