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Simplifying 1 + -0.5n = 3n + 16 Reorder the terms: 1 + -0.5n = 16 + 3n Solving 1 + -0.5n = 16 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 1 + -0.5n + -3n = 16 + 3n + -3n Combine like terms: -0.5n + -3n = -3.5n 1 + -3.5n = 16 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + -3.5n = 16 + 0 1 + -3.5n = 16 Add '-1' to each side of the equation. 1 + -1 + -3.5n = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -3.5n = 16 + -1 -3.5n = 16 + -1 Combine like terms: 16 + -1 = 15 -3.5n = 15 Divide each side by '-3.5'. n = -4.285714286 Simplifying n = -4.285714286
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