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Simplifying n + -12 = 0.5n + 65 Reorder the terms: -12 + n = 0.5n + 65 Reorder the terms: -12 + n = 65 + 0.5n Solving -12 + n = 65 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. -12 + n + -0.5n = 65 + 0.5n + -0.5n Combine like terms: n + -0.5n = 0.5n -12 + 0.5n = 65 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 -12 + 0.5n = 65 + 0.0 -12 + 0.5n = 65 Add '12' to each side of the equation. -12 + 12 + 0.5n = 65 + 12 Combine like terms: -12 + 12 = 0 0 + 0.5n = 65 + 12 0.5n = 65 + 12 Combine like terms: 65 + 12 = 77 0.5n = 77 Divide each side by '0.5'. n = 154 Simplifying n = 154
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