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Simplifying 17.9n + 12.18 + -19.07 = -12.83 + 17n Reorder the terms: 12.18 + -19.07 + 17.9n = -12.83 + 17n Combine like terms: 12.18 + -19.07 = -6.89 -6.89 + 17.9n = -12.83 + 17n Solving -6.89 + 17.9n = -12.83 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. -6.89 + 17.9n + -17n = -12.83 + 17n + -17n Combine like terms: 17.9n + -17n = 0.9n -6.89 + 0.9n = -12.83 + 17n + -17n Combine like terms: 17n + -17n = 0 -6.89 + 0.9n = -12.83 + 0 -6.89 + 0.9n = -12.83 Add '6.89' to each side of the equation. -6.89 + 6.89 + 0.9n = -12.83 + 6.89 Combine like terms: -6.89 + 6.89 = 0.00 0.00 + 0.9n = -12.83 + 6.89 0.9n = -12.83 + 6.89 Combine like terms: -12.83 + 6.89 = -5.94 0.9n = -5.94 Divide each side by '0.9'. n = -6.6 Simplifying n = -6.6
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