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Simplifying 1.81 + -4(3.5n + -13.81) = -18.7n + -18.92 + -10.04 Reorder the terms: 1.81 + -4(-13.81 + 3.5n) = -18.7n + -18.92 + -10.04 1.81 + (-13.81 * -4 + 3.5n * -4) = -18.7n + -18.92 + -10.04 1.81 + (55.24 + -14n) = -18.7n + -18.92 + -10.04 Combine like terms: 1.81 + 55.24 = 57.05 57.05 + -14n = -18.7n + -18.92 + -10.04 Reorder the terms: 57.05 + -14n = -18.92 + -10.04 + -18.7n Combine like terms: -18.92 + -10.04 = -28.96 57.05 + -14n = -28.96 + -18.7n Solving 57.05 + -14n = -28.96 + -18.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18.7n' to each side of the equation. 57.05 + -14n + 18.7n = -28.96 + -18.7n + 18.7n Combine like terms: -14n + 18.7n = 4.7n 57.05 + 4.7n = -28.96 + -18.7n + 18.7n Combine like terms: -18.7n + 18.7n = 0.0 57.05 + 4.7n = -28.96 + 0.0 57.05 + 4.7n = -28.96 Add '-57.05' to each side of the equation. 57.05 + -57.05 + 4.7n = -28.96 + -57.05 Combine like terms: 57.05 + -57.05 = 0.00 0.00 + 4.7n = -28.96 + -57.05 4.7n = -28.96 + -57.05 Combine like terms: -28.96 + -57.05 = -86.01 4.7n = -86.01 Divide each side by '4.7'. n = -18.3 Simplifying n = -18.3
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