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Simplifying 0.4n + 7 = 12 + -0.6n Reorder the terms: 7 + 0.4n = 12 + -0.6n Solving 7 + 0.4n = 12 + -0.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.6n' to each side of the equation. 7 + 0.4n + 0.6n = 12 + -0.6n + 0.6n Combine like terms: 0.4n + 0.6n = 1n 7 + 1n = 12 + -0.6n + 0.6n Combine like terms: -0.6n + 0.6n = 0.0 7 + 1n = 12 + 0.0 7 + 1n = 12 Add '-7' to each side of the equation. 7 + -7 + 1n = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 12 + -7 1n = 12 + -7 Combine like terms: 12 + -7 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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