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Simplifying 3.5 = 8.5n + -7.5n + 7.8 Reorder the terms: 3.5 = 7.8 + 8.5n + -7.5n Combine like terms: 8.5n + -7.5n = 1n 3.5 = 7.8 + 1n Solving 3.5 = 7.8 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 3.5 + -1n = 7.8 + 1n + -1n Combine like terms: 1n + -1n = 0 3.5 + -1n = 7.8 + 0 3.5 + -1n = 7.8 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -1n = 7.8 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1n = 7.8 + -3.5 -1n = 7.8 + -3.5 Combine like terms: 7.8 + -3.5 = 4.3 -1n = 4.3 Divide each side by '-1'. n = -4.3 Simplifying n = -4.3
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