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Simplifying 0.7n + 4.6 = 7.3 + -0.2n Reorder the terms: 4.6 + 0.7n = 7.3 + -0.2n Solving 4.6 + 0.7n = 7.3 + -0.2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.2n' to each side of the equation. 4.6 + 0.7n + 0.2n = 7.3 + -0.2n + 0.2n Combine like terms: 0.7n + 0.2n = 0.9n 4.6 + 0.9n = 7.3 + -0.2n + 0.2n Combine like terms: -0.2n + 0.2n = 0.0 4.6 + 0.9n = 7.3 + 0.0 4.6 + 0.9n = 7.3 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.9n = 7.3 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.9n = 7.3 + -4.6 0.9n = 7.3 + -4.6 Combine like terms: 7.3 + -4.6 = 2.7 0.9n = 2.7 Divide each side by '0.9'. n = 3 Simplifying n = 3
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