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Simplifying 5 + -0.5n + n = 12 + -1n Combine like terms: -0.5n + n = 0.5n 5 + 0.5n = 12 + -1n Solving 5 + 0.5n = 12 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 5 + 0.5n + n = 12 + -1n + n Combine like terms: 0.5n + n = 1.5n 5 + 1.5n = 12 + -1n + n Combine like terms: -1n + n = 0 5 + 1.5n = 12 + 0 5 + 1.5n = 12 Add '-5' to each side of the equation. 5 + -5 + 1.5n = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1.5n = 12 + -5 1.5n = 12 + -5 Combine like terms: 12 + -5 = 7 1.5n = 7 Divide each side by '1.5'. n = 4.666666667 Simplifying n = 4.666666667
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