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Simplifying 0.75n + -16 = 14 + -0.50n Reorder the terms: -16 + 0.75n = 14 + -0.50n Solving -16 + 0.75n = 14 + -0.50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.50n' to each side of the equation. -16 + 0.75n + 0.50n = 14 + -0.50n + 0.50n Combine like terms: 0.75n + 0.50n = 1.25n -16 + 1.25n = 14 + -0.50n + 0.50n Combine like terms: -0.50n + 0.50n = 0.00 -16 + 1.25n = 14 + 0.00 -16 + 1.25n = 14 Add '16' to each side of the equation. -16 + 16 + 1.25n = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 1.25n = 14 + 16 1.25n = 14 + 16 Combine like terms: 14 + 16 = 30 1.25n = 30 Divide each side by '1.25'. n = 24 Simplifying n = 24
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