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Simplifying 2.6n + -5 = 2.1n + 45 Reorder the terms: -5 + 2.6n = 2.1n + 45 Reorder the terms: -5 + 2.6n = 45 + 2.1n Solving -5 + 2.6n = 45 + 2.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.1n' to each side of the equation. -5 + 2.6n + -2.1n = 45 + 2.1n + -2.1n Combine like terms: 2.6n + -2.1n = 0.5n -5 + 0.5n = 45 + 2.1n + -2.1n Combine like terms: 2.1n + -2.1n = 0.0 -5 + 0.5n = 45 + 0.0 -5 + 0.5n = 45 Add '5' to each side of the equation. -5 + 5 + 0.5n = 45 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5n = 45 + 5 0.5n = 45 + 5 Combine like terms: 45 + 5 = 50 0.5n = 50 Divide each side by '0.5'. n = 100 Simplifying n = 100
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