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Simplifying 7n + 6 = 2.5n + -2 Reorder the terms: 6 + 7n = 2.5n + -2 Reorder the terms: 6 + 7n = -2 + 2.5n Solving 6 + 7n = -2 + 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. 6 + 7n + -2.5n = -2 + 2.5n + -2.5n Combine like terms: 7n + -2.5n = 4.5n 6 + 4.5n = -2 + 2.5n + -2.5n Combine like terms: 2.5n + -2.5n = 0.0 6 + 4.5n = -2 + 0.0 6 + 4.5n = -2 Add '-6' to each side of the equation. 6 + -6 + 4.5n = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 4.5n = -2 + -6 4.5n = -2 + -6 Combine like terms: -2 + -6 = -8 4.5n = -8 Divide each side by '4.5'. n = -1.777777778 Simplifying n = -1.777777778
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