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Simplifying -19.09 + -3.1n = 16.1n + 2.49 + -2.6n Reorder the terms: -19.09 + -3.1n = 2.49 + 16.1n + -2.6n Combine like terms: 16.1n + -2.6n = 13.5n -19.09 + -3.1n = 2.49 + 13.5n Solving -19.09 + -3.1n = 2.49 + 13.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13.5n' to each side of the equation. -19.09 + -3.1n + -13.5n = 2.49 + 13.5n + -13.5n Combine like terms: -3.1n + -13.5n = -16.6n -19.09 + -16.6n = 2.49 + 13.5n + -13.5n Combine like terms: 13.5n + -13.5n = 0.0 -19.09 + -16.6n = 2.49 + 0.0 -19.09 + -16.6n = 2.49 Add '19.09' to each side of the equation. -19.09 + 19.09 + -16.6n = 2.49 + 19.09 Combine like terms: -19.09 + 19.09 = 0.00 0.00 + -16.6n = 2.49 + 19.09 -16.6n = 2.49 + 19.09 Combine like terms: 2.49 + 19.09 = 21.58 -16.6n = 21.58 Divide each side by '-16.6'. n = -1.3 Simplifying n = -1.3
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