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Simplifying 0.5n + -0.35n = 2.5n + 9.4 Combine like terms: 0.5n + -0.35n = 0.15n 0.15n = 2.5n + 9.4 Reorder the terms: 0.15n = 9.4 + 2.5n Solving 0.15n = 9.4 + 2.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.5n' to each side of the equation. 0.15n + -2.5n = 9.4 + 2.5n + -2.5n Combine like terms: 0.15n + -2.5n = -2.35n -2.35n = 9.4 + 2.5n + -2.5n Combine like terms: 2.5n + -2.5n = 0.0 -2.35n = 9.4 + 0.0 -2.35n = 9.4 Divide each side by '-2.35'. n = -4 Simplifying n = -4
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