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Simplifying 11.47 + 17.2n = -19.4 + 10.9n Solving 11.47 + 17.2n = -19.4 + 10.9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10.9n' to each side of the equation. 11.47 + 17.2n + -10.9n = -19.4 + 10.9n + -10.9n Combine like terms: 17.2n + -10.9n = 6.3n 11.47 + 6.3n = -19.4 + 10.9n + -10.9n Combine like terms: 10.9n + -10.9n = 0.0 11.47 + 6.3n = -19.4 + 0.0 11.47 + 6.3n = -19.4 Add '-11.47' to each side of the equation. 11.47 + -11.47 + 6.3n = -19.4 + -11.47 Combine like terms: 11.47 + -11.47 = 0.00 0.00 + 6.3n = -19.4 + -11.47 6.3n = -19.4 + -11.47 Combine like terms: -19.4 + -11.47 = -30.87 6.3n = -30.87 Divide each side by '6.3'. n = -4.9 Simplifying n = -4.9
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