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Simplifying 0.5n + 6 = 1n + 2 Reorder the terms: 6 + 0.5n = 1n + 2 Reorder the terms: 6 + 0.5n = 2 + 1n Solving 6 + 0.5n = 2 + 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. 6 + 0.5n + -1n = 2 + 1n + -1n Combine like terms: 0.5n + -1n = -0.5n 6 + -0.5n = 2 + 1n + -1n Combine like terms: 1n + -1n = 0 6 + -0.5n = 2 + 0 6 + -0.5n = 2 Add '-6' to each side of the equation. 6 + -6 + -0.5n = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -0.5n = 2 + -6 -0.5n = 2 + -6 Combine like terms: 2 + -6 = -4 -0.5n = -4 Divide each side by '-0.5'. n = 8 Simplifying n = 8
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