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Simplifying 1n + 3 = 2.5n + -6 + -0.5 Reorder the terms: 3 + 1n = 2.5n + -6 + -0.5 Reorder the terms: 3 + 1n = -6 + -0.5 + 2.5n Combine like terms: -6 + -0.5 = -6.5 3 + 1n = -6.5 + 2.5n Solving 3 + 1n = -6.5 + 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. 3 + 1n + -2.5n = -6.5 + 2.5n + -2.5n Combine like terms: 1n + -2.5n = -1.5n 3 + -1.5n = -6.5 + 2.5n + -2.5n Combine like terms: 2.5n + -2.5n = 0.0 3 + -1.5n = -6.5 + 0.0 3 + -1.5n = -6.5 Add '-3' to each side of the equation. 3 + -3 + -1.5n = -6.5 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5n = -6.5 + -3 -1.5n = -6.5 + -3 Combine like terms: -6.5 + -3 = -9.5 -1.5n = -9.5 Divide each side by '-1.5'. n = 6.333333333 Simplifying n = 6.333333333
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