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Simplifying -21.944 + -3.7n = -4.4(0.9n + 4.81) Reorder the terms: -21.944 + -3.7n = -4.4(4.81 + 0.9n) -21.944 + -3.7n = (4.81 * -4.4 + 0.9n * -4.4) -21.944 + -3.7n = (-21.164 + -3.96n) Solving -21.944 + -3.7n = -21.164 + -3.96n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.96n' to each side of the equation. -21.944 + -3.7n + 3.96n = -21.164 + -3.96n + 3.96n Combine like terms: -3.7n + 3.96n = 0.26n -21.944 + 0.26n = -21.164 + -3.96n + 3.96n Combine like terms: -3.96n + 3.96n = 0.00 -21.944 + 0.26n = -21.164 + 0.00 -21.944 + 0.26n = -21.164 Add '21.944' to each side of the equation. -21.944 + 21.944 + 0.26n = -21.164 + 21.944 Combine like terms: -21.944 + 21.944 = 0.000 0.000 + 0.26n = -21.164 + 21.944 0.26n = -21.164 + 21.944 Combine like terms: -21.164 + 21.944 = 0.78 0.26n = 0.78 Divide each side by '0.26'. n = 3 Simplifying n = 3
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