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Simplifying 0.3n + -1.5 = 0.4 + -0.2n + -1.4 Reorder the terms: -1.5 + 0.3n = 0.4 + -0.2n + -1.4 Reorder the terms: -1.5 + 0.3n = 0.4 + -1.4 + -0.2n Combine like terms: 0.4 + -1.4 = -1 -1.5 + 0.3n = -1 + -0.2n Solving -1.5 + 0.3n = -1 + -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. -1.5 + 0.3n + 0.2n = -1 + -0.2n + 0.2n Combine like terms: 0.3n + 0.2n = 0.5n -1.5 + 0.5n = -1 + -0.2n + 0.2n Combine like terms: -0.2n + 0.2n = 0.0 -1.5 + 0.5n = -1 + 0.0 -1.5 + 0.5n = -1 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.5n = -1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.5n = -1 + 1.5 0.5n = -1 + 1.5 Combine like terms: -1 + 1.5 = 0.5 0.5n = 0.5 Divide each side by '0.5'. n = 1 Simplifying n = 1
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