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Simplifying -4.2n + -1.5 + 12.4n = 16.54 + 12.6n Reorder the terms: -1.5 + -4.2n + 12.4n = 16.54 + 12.6n Combine like terms: -4.2n + 12.4n = 8.2n -1.5 + 8.2n = 16.54 + 12.6n Solving -1.5 + 8.2n = 16.54 + 12.6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12.6n' to each side of the equation. -1.5 + 8.2n + -12.6n = 16.54 + 12.6n + -12.6n Combine like terms: 8.2n + -12.6n = -4.4n -1.5 + -4.4n = 16.54 + 12.6n + -12.6n Combine like terms: 12.6n + -12.6n = 0.0 -1.5 + -4.4n = 16.54 + 0.0 -1.5 + -4.4n = 16.54 Add '1.5' to each side of the equation. -1.5 + 1.5 + -4.4n = 16.54 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -4.4n = 16.54 + 1.5 -4.4n = 16.54 + 1.5 Combine like terms: 16.54 + 1.5 = 18.04 -4.4n = 18.04 Divide each side by '-4.4'. n = -4.1 Simplifying n = -4.1
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